Sets and Functions Exercise 1.1 1. Write each of the following sets (i) in set builder form (ii) in listing its elements. (1) The set N of natural numbers. (2) The set J of all positive integers. (3) The set P of all prime numbers. (4) The set A of all positive integers that lie between 1 and 13. (5) The set B of real numbers which satisfy the equation 3x2 + 5x – 2 = 0. 2. Choose a suitable description (a) of (b) or (c) in set builder form for the following sets. (1) E ={ 2, 4, 6, 8} (a) E = { x/ x is an even integer less than 10 } (b) E = { x/ x is an even positive integer less than 10 } (c) E = { x / x is positive integer, x< 10 and x is a multiple of 2} (2) F = { 3, 6,9, 12, 15 , …} (a) F = {x/ x is appositive integer that is divisible by 3} (b) F = {x/x is a multiple of 3} (c) F = {x/x is a natural number that is divisible by 3} 3. A = {x/x2 + x – 6 } and B = { -3,2}. Is A = B? 4. A = {x/x is prime number which is less than 10} and B = {x/x2 – 8x + 15 = 0} (a) Is A = B (b) Is B⊂ A? 5. P = {x/x is an integer and -1 < x<3/5 }and Q = {x/x3 -3x2 + 2x = 0} . Is P = Q? 6.L= {(x,y)/ x and y are positive integers and x + y = 7}.Write L by listing its elements. Exercise 1.2 1.Draw the following intervals. (a) {x/x > 2} (b) {x/x ≥ 3} (c) {x/x x ≤ -1} (d) {x/x>-1} (e){x/-2≤ x≤ 2} (f) {x/0≤x≤ 5} (g) {x/x≤0 or x.2} 2. Draw a graph to show the solution set of each of the following. (a) x-1<4 (b) x-1≤ 0 (c) 2x≤5 (d) 2x-1>7 (e) 5-x≥1 (f) 1/3(x-1)<1 3.Draw the graph of the following number lines below one another. (a) P = {x/x≥3, x∈R} (b) Q = {x/x≤-2, x∈R} (c) P∩Q (d) P∪Q 4. On separate number lines draw the graph. S = {x/x>-4} , T = {x/x<3}.Give a set –builder description of S∩T. Exercise 1.3 1. M = {x/x is an integer , and -3<x<6} , N = the set of positive integers that are less than 8. Find M∩N. (3 marks) 2. A = {x/x is a positive integer that is divisible by 3}, B = {x/x is a positive integer that is divisible by 5. Find (n integer }. B = { x/x is a prime number}. C = { x/x is a positive integer that is divisible by 3}. Find (a) A∩ (B∩C) and (A∩B) ∩C. Show that A∩ (B∩C)= (A ∩ B) ∩ C 5. Let A = {x/x is positive integer that is di
post_id | 64,475,840 |
---|---|
author | tharzaw |
permlink | msinf |
category | legyi |
json_metadata | {"tags":["legyi"],"app":"steemit\/0.1","format":"markdown"} |
created | 2018-10-18 12:53:57 |
last_update | 2018-10-18 12:53:57 |
depth | 0 |
children | 0 |
net_rshares | 61,823,512,320 |
last_payout | 2018-10-25 12:53:57 |
cashout_time | 1969-12-31 23:59:59 |
total_payout_value | 0.056 SBD |
curator_payout_value | 0.000 SBD |
pending_payout_value | 0.000 SBD |
promoted | 0.000 SBD |
body_length | 2,339 |
author_reputation | 4,999,066,211 |
root_title | msinf |
beneficiaries | [] |
max_accepted_payout | 1,000,000.000 SBD |
percent_steem_dollars | 10,000 |
author_curate_reward | "" |
voter | weight | wgt% | rshares | pct | time |
---|---|---|---|---|---|
spaminator | 0 | -85,033,626,364 | -0.16% | ||
prowler | 0 | -15,293,507 | -1% | ||
thienduc | 0 | 201,670,441 | 50% | ||
thurrein | 0 | 2,428,193,072 | 100% | ||
thureintun | 0 | 463,497,207 | 100% | ||
eizazanaing | 0 | 458,150,246 | 100% | ||
gyika | 0 | 464,659,483 | 100% | ||
khayephyu | 0 | 445,233,199 | 100% | ||
linkha | 0 | 455,330,652 | 100% | ||
airnavy81 | 0 | 443,459,230 | 100% | ||
airron | 0 | 441,155,515 | 100% | ||
sanaungmoe | 0 | 443,151,949 | 100% | ||
kyarlay | 0 | 442,253,195 | 100% | ||
lwinlwin | 0 | 441,696,502 | 100% | ||
yeyene | 0 | 444,048,058 | 100% | ||
eithuzarnaing | 0 | 443,071,980 | 100% | ||
laynge88 | 0 | 443,235,074 | 100% | ||
josephno | 0 | 443,144,249 | 100% | ||
soegyi | 0 | 443,002,962 | 100% | ||
doegyi | 0 | 444,206,322 | 100% | ||
layphyu18 | 0 | 447,096,604 | 100% | ||
moezaw2 | 0 | 452,997,356 | 100% | ||
pepu204 | 0 | 457,032,940 | 100% | ||
chitwiine | 0 | 457,066,512 | 100% | ||
winewiine | 0 | 457,100,546 | 100% | ||
mawaung | 0 | 456,999,668 | 100% | ||
yekyaw | 0 | 457,001,179 | 100% | ||
aungkhant191 | 0 | 456,980,079 | 100% | ||
kyawthaung | 0 | 446,872,011 | 100% | ||
sinma129 | 0 | 442,682,628 | 100% | ||
thuzar868 | 0 | 442,678,013 | 100% | ||
thunaing | 0 | 442,714,162 | 100% | ||
kyargyi | 0 | 442,675,467 | 100% | ||
phyulay | 0 | 442,639,817 | 100% | ||
aungko118 | 0 | 443,644,800 | 100% | ||
aungzin45 | 0 | 458,005,195 | 100% | ||
bobbysossorr | 0 | 447,914,344 | 100% | ||
chitchit557 | 0 | 443,584,381 | 100% | ||
gyizaw | 0 | 443,657,574 | 100% | ||
gange6 | 0 | 453,667,463 | 100% | ||
gyinay | 0 | 447,702,072 | 100% | ||
gyimaw | 0 | 447,707,547 | 100% | ||
khaingkyaw | 0 | 443,516,959 | 100% | ||
khantko130 | 0 | 445,695,194 | 100% | ||
khinwint | 0 | 443,304,386 | 100% | ||
kokhant141 | 0 | 453,630,609 | 100% | ||
kyawaung121 | 0 | 445,447,280 | 100% | ||
kyawbo | 0 | 443,985,762 | 100% | ||
laybyay | 0 | 441,568,728 | 100% | ||
luwai | 0 | 443,364,945 | 100% | ||
nayye | 0 | 443,159,697 | 100% | ||
myintmyat460 | 0 | 443,122,933 | 100% | ||
moemyint766 | 0 | 441,571,902 | 100% | ||
nayzwe | 0 | 447,225,308 | 100% | ||
nayang460 | 0 | 443,479,317 | 100% | ||
nganga285 | 0 | 443,533,599 | 100% | ||
saloneo | 0 | 442,430,909 | 100% | ||
sanyati510 | 0 | 453,216,625 | 100% | ||
sofiajoe | 0 | 443,363,829 | 100% | ||
stearjohn | 0 | 456,233,949 | 100% | ||
bengun | 0 | 447,624,443 | 100% | ||
stearjack | 0 | 443,627,064 | 100% | ||
speroken | 0 | 453,549,550 | 100% | ||
wailaa | 0 | 443,034,661 | 100% | ||
yeaung147 | 0 | 446,546,800 | 100% | ||
zagwe | 0 | 442,382,656 | 100% | ||
yeko983 | 0 | 446,517,180 | 100% | ||
moelwin71 | 0 | 443,951,587 | 100% | ||
jhonsep | 0 | 457,325,264 | 100% | ||
santhwe | 0 | 457,968,573 | 100% | ||
sthinzar | 0 | 444,007,345 | 100% | ||
myo.sandi | 0 | 444,007,684 | 100% | ||
aungkyaw57 | 0 | 447,574,745 | 100% | ||
konaw34 | 0 | 447,529,355 | 100% | ||
khinlay4 | 0 | 447,652,882 | 100% | ||
zarzar78 | 0 | 442,242,547 | 100% | ||
zinyaw89 | 0 | 447,563,851 | 100% | ||
thaw.zin | 0 | 451,593,330 | 100% | ||
ngelay76 | 0 | 443,409,848 | 100% | ||
moemyint34 | 0 | 447,509,770 | 100% | ||
koaung78 | 0 | 457,685,479 | 100% | ||
khinlay89 | 0 | 447,528,331 | 100% | ||
myosandi67 | 0 | 455,792,361 | 100% | ||
thuzar34 | 0 | 451,588,171 | 100% | ||
moezet67 | 0 | 447,557,935 | 100% | ||
kotoe94 | 0 | 445,692,933 | 100% | ||
soegyi2019 | 0 | 445,688,594 | 100% | ||
winko2019 | 0 | 445,690,801 | 100% | ||
nainglay | 0 | 445,680,116 | 100% | ||
theintun86 | 0 | 445,654,790 | 100% | ||
khinlay1 | 0 | 445,688,433 | 100% | ||
linmyatthu | 0 | 445,692,496 | 100% | ||
wuthmon | 0 | 445,681,329 | 100% | ||
shweyi | 0 | 445,677,505 | 100% | ||
moemyint1 | 0 | 445,689,530 | 100% | ||
eizar78 | 0 | 446,257,935 | 100% | ||
yati78 | 0 | 445,651,978 | 100% | ||
kyarphyu90 | 0 | 447,474,748 | 100% | ||
sanaung84 | 0 | 451,592,590 | 100% | ||
khinmoe23 | 0 | 441,570,909 | 100% | ||
yeye8924 | 0 | 445,675,399 | 100% | ||
nankhin390 | 0 | 445,685,866 | 100% | ||
khinzayar | 0 | 445,679,203 | 100% | ||
nanzayar | 0 | 451,595,112 | 100% | ||
pannu67 | 0 | 445,683,623 | 100% | ||
nizaw509 | 0 | 441,555,821 | 100% | ||
khinmaung68 | 0 | 441,539,026 | 100% | ||
khinaung637 | 0 | 445,689,116 | 100% | ||
tinmow291 | 0 | 447,549,608 | 100% | ||
phyuphyu260 | 0 | 443,237,472 | 100% | ||
mgmoe316 | 0 | 445,684,973 | 100% | ||
laymyint620 | 0 | 445,490,177 | 100% | ||
kyawthein420 | 0 | 441,562,637 | 100% | ||
thazin922 | 0 | 443,435,413 | 100% | ||
chitthuwai | 0 | 445,721,344 | 100% | ||
mgthawka9 | 0 | 461,809,999 | 100% | ||
laynge575 | 0 | 441,560,109 | 100% | ||
laylaymyint6 | 0 | 441,580,476 | 100% | ||
khinmggyi8 | 0 | 455,803,929 | 100% | ||
kyawthu703 | 0 | 451,615,929 | 100% | ||
naythu562 | 0 | 445,696,435 | 100% | ||
puaung | 0 | 445,663,712 | 100% | ||
shweyeeoo34 | 0 | 445,663,008 | 100% | ||
yepook | 0 | 441,574,367 | 100% | ||
thuzarlin89 | 0 | 445,695,797 | 100% | ||
shwesu67 | 0 | 445,663,385 | 100% | ||
thanpu | 0 | 441,540,268 | 100% | ||
pepu478 | 0 | 441,535,573 | 100% | ||
chocho78 | 0 | 445,724,973 | 100% | ||
aungmyo78 | 0 | 451,520,350 | 100% | ||
naunglay78 | 0 | 445,692,366 | 100% | ||
khaingmyethar | 0 | 445,699,202 | 100% | ||
kyawkhaing313 | 0 | 455,737,600 | 100% | ||
pansandar | 0 | 441,528,006 | 100% | ||
aunglinko | 0 | 445,714,317 | 100% | ||
lsinelu | 0 | 455,770,524 | 100% | ||
khinmglay67 | 0 | 445,652,219 | 100% | ||
naythurein78 | 0 | 441,503,611 | 100% | ||
athelay | 0 | 445,692,030 | 100% | ||
marlwin724 | 0 | 445,658,290 | 100% | ||
laylaymu23 | 0 | 445,684,765 | 100% | ||
kyawkyawbo67 | 0 | 445,657,351 | 100% | ||
naytoe86 | 0 | 445,691,944 | 100% | ||
naymin642 | 0 | 441,556,296 | 100% | ||
nayaung662 | 0 | 441,533,040 | 100% | ||
khinmaung89 | 0 | 451,585,801 | 100% | ||
myintaung951 | 0 | 447,491,722 | 100% | ||
khinmglay89 | 0 | 447,543,195 | 100% | ||
yadanamaing | 0 | 453,406,241 | 100% | ||
thuthu12 | 0 | 445,691,401 | 100% | ||
moethuzar12 | 0 | 445,701,595 | 100% | ||
toelay56 | 0 | 441,500,400 | 100% | ||
maungmoe81 | 0 | 451,559,571 | 100% | ||
nyominlwin78 | 0 | 441,537,247 | 100% | ||
linmyatoo | 0 | 451,522,621 | 100% | ||
thetnaingoo7 | 0 | 445,633,442 | 100% | ||
thidawin87 | 0 | 441,504,187 | 100% | ||
hlahlawin49 | 0 | 445,649,864 | 100% | ||
tinmoelwin67 | 0 | 445,614,847 | 100% | ||
khinmoe34 | 0 | 441,502,320 | 100% | ||
htaykhin55 | 0 | 441,534,237 | 100% | ||
khinmuyar | 0 | 445,600,196 | 100% | ||
naingwin78 | 0 | 441,514,032 | 100% | ||
winnaing46 | 0 | 445,588,554 | 100% | ||
tinnaing78 | 0 | 441,475,939 | 100% | ||
malaymamu | 0 | 451,488,991 | 100% | ||
memepook | 0 | 451,492,039 | 100% | ||
ngapauk | 0 | 451,523,758 | 100% | ||
pauksa57 | 0 | 445,621,735 | 100% | ||
winmaw33 | 0 | 455,694,574 | 100% | ||
mamelai | 0 | 445,568,026 | 100% | ||
amelgyi | 0 | 451,495,034 | 100% | ||
aungkaungman | 0 | 441,535,746 | 100% | ||
zwepainghtet78 | 0 | 461,835,873 | 100% | ||
kyawmoe67 | 0 | 263,371,586 | 100% | ||
htunlin | 0 | 410,992,201 | 100% | ||
aunglinmyat | 0 | 403,374,962 | 100% | ||
moekyawkyaw56 | 0 | 472,231,719 | 100% | ||
tunaungkyaw68 | 0 | 451,516,099 | 100% | ||
saisaimaw | 0 | 441,531,502 | 100% | ||
hteesai | 0 | 453,460,309 | 100% | ||
myominkyaw | 0 | 445,627,888 | 100% | ||
yanmyoaung56 | 0 | 455,705,063 | 100% | ||
aungkyawtun57 | 0 | 445,628,112 | 100% | ||
tunaungkyaw66 | 0 | 451,490,996 | 100% | ||
tunkyawaung | 0 | 452,747,726 | 100% | ||
mayshinmon | 0 | 462,960,119 | 100% | ||
naythuzaw | 0 | 467,355,510 | 100% | ||
aungthantmin | 0 | 452,677,026 | 100% | ||
aungmoe105 | 0 | 451,519,956 | 100% | ||
aung.toe | 0 | 456,937,876 | 100% | ||
aungsoe80 | 0 | 445,632,010 | 100% | ||
aunjgnoe | 0 | 445,569,504 | 100% | ||
aungkhantmin | 0 | 455,338,870 | 100% | ||
thanthanmu | 0 | 458,633,669 | 100% | ||
moemyintthuzin | 0 | 443,882,267 | 100% | ||
panthitsa782 | 0 | 458,258,343 | 100% | ||
kothawpu | 0 | 465,642,107 | 100% | ||
khinmgsawwin | 0 | 468,792,817 | 100% | ||
pemburubitcoin | 0 | 251,191,651 | 50% | ||
nawzaw | 0 | 457,626,332 | 100% | ||
lwinlwinthant | 0 | 467,921,779 | 100% | ||
thinzarsoe | 0 | 463,597,761 | 100% | ||
khinsusunaing | 0 | 453,370,747 | 100% | ||
nayzwe5 | 0 | 447,389,505 | 100% | ||
naynaythurein | 0 | 467,956,176 | 100% | ||
khinphyo | 0 | 455,330,634 | 100% | ||
khinlay | 0 | 446,945,326 | 100% | ||
khinaye | 0 | 457,071,194 | 100% | ||
naytoelwin | 0 | 225,006,635 | 50% | ||
khinyupa | 0 | 447,007,965 | 100% | ||
dinekhinkhin | 0 | 442,801,514 | 100% | ||
chawkay | 0 | 225,004,728 | 50% | ||
soepyae791 | 0 | 442,822,434 | 100% | ||
strawlone | 0 | 446,938,897 | 100% | ||
jhonsmst | 0 | 446,939,636 | 100% | ||
pankar | 0 | 457,111,771 | 100% | ||
pwintphue | 0 | 446,943,381 | 100% | ||
natthar375 | 0 | 442,794,917 | 100% | ||
ntamee | 0 | 442,810,522 | 100% | ||
wahngu | 0 | 442,792,027 | 100% | ||
kyawhmue | 0 | 446,933,883 | 100% | ||
meechaw | 0 | 457,117,984 | 100% | ||
skaung | 0 | 446,935,389 | 100% | ||
kaungmin753 | 0 | 452,848,108 | 100% | ||
minsat207 | 0 | 452,845,677 | 100% | ||
thiri585 | 0 | 446,939,151 | 100% | ||
phyukhin043 | 0 | 446,433,640 | 100% | ||
trtfitnesstun | 0 | 442,256,270 | 100% | ||
aungkyawoo | 0 | 446,410,193 | 100% | ||
shwepookk | 0 | 446,404,688 | 100% | ||
moemoegyi | 0 | 442,262,753 | 100% | ||
linaung | 0 | 442,264,120 | 100% | ||
tinaunggyi | 0 | 456,523,810 | 100% | ||
tinaunglat | 0 | 452,306,551 | 100% | ||
khinlaynwe | 0 | 442,269,185 | 100% | ||
moelin | 0 | 454,198,878 | 100% | ||
moethin | 0 | 442,266,972 | 100% | ||
moehnin | 0 | 452,308,689 | 100% | ||
nayye7 | 0 | 452,302,437 | 100% | ||
nayzwee | 0 | 446,407,791 | 100% | ||
leizarchi | 0 | 456,467,781 | 100% | ||
winmaung | 0 | 466,801,423 | 100% | ||
khinsanwai | 0 | 453,719,878 | 100% | ||
chochowin | 0 | 445,933,030 | 100% | ||
phoephyu | 0 | 451,803,732 | 100% | ||
sansanwin | 0 | 456,045,976 | 100% | ||
khinmoewai | 0 | 456,042,615 | 100% | ||
khintook | 0 | 456,007,018 | 100% | ||
khintoke | 0 | 441,743,628 | 100% | ||
khinpoke | 0 | 451,770,893 | 100% | ||
thinthinmu | 0 | 455,998,359 | 100% | ||
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sanyatilin | 0 | 455,993,093 | 100% | ||
tinwintun | 0 | 445,881,580 | 100% | ||
sanyatii | 0 | 445,873,480 | 100% | ||
naweillay | 0 | 451,759,116 | 100% | ||
chitoonyo | 0 | 441,740,077 | 100% | ||
pannukhin | 0 | 451,770,711 | 100% | ||
linlintunn | 0 | 455,996,512 | 100% | ||
lwintoe | 0 | 455,992,718 | 100% | ||
naylinoo8 | 0 | 455,994,952 | 100% | ||
thuzin | 0 | 462,005,888 | 100% | ||
soepyay | 0 | 445,884,574 | 100% | ||
khinthuzarphyo | 0 | 451,767,140 | 100% | ||
sunmintun | 0 | 451,778,268 | 100% | ||
khinlaynwenwe | 0 | 453,662,616 | 100% | ||
zarzarkhaing | 0 | 445,892,879 | 100% | ||
eithurein | 0 | 455,992,313 | 100% | ||
khinmgtoe | 0 | 441,734,992 | 100% | ||
thinthinphyo | 0 | 441,739,273 | 100% | ||
mayshinmo | 0 | 455,998,680 | 100% | ||
kyawkyawboo | 0 | 455,996,856 | 100% | ||
myatminn | 0 | 455,998,652 | 100% | ||
tinzarwintkyaw | 0 | 455,987,881 | 100% | ||
digearphyo | 0 | 445,871,450 | 100% | ||
winmoethat | 0 | 451,763,856 | 100% | ||
yeyepook | 0 | 441,738,477 | 100% | ||
maybarithaw | 0 | 445,862,497 | 100% | ||
thuzartunn | 0 | 441,729,332 | 100% | ||
linmyatoo8 | 0 | 445,885,641 | 100% | ||
minthantzin | 0 | 441,733,732 | 100% | ||
moemoe649 | 0 | 441,733,395 | 100% | ||
zinthulwin | 0 | 445,881,429 | 100% | ||
zinmoethu | 0 | 455,986,272 | 100% | ||
tharlat | 0 | 445,874,575 | 100% | ||
mayiaye | 0 | 455,985,561 | 100% | ||
winsan | 0 | 441,734,198 | 100% | ||
chitchti | 0 | 455,989,771 | 100% | ||
santhiri | 0 | 441,714,787 | 100% | ||
naychilwin | 0 | 445,861,621 | 100% | ||
htayhtayu | 0 | 445,856,189 | 100% | ||
santhein | 0 | 451,759,290 | 100% | ||
soesoepu | 0 | 441,733,696 | 100% | ||
kokyimya | 0 | 451,757,351 | 100% | ||
zareitun | 0 | 455,986,968 | 100% | ||
khinthuthu796 | 0 | 453,289,655 | 100% | ||
thawdardan | 0 | 451,399,195 | 100% | ||
htinpaw | 0 | 445,663,781 | 100% | ||
kopulay | 0 | 441,530,538 | 100% | ||
khinthaung | 0 | 451,557,196 | 100% | ||
mglinkha | 0 | 441,534,463 | 100% | ||
phyongwesoe | 0 | 461,792,640 | 100% | ||
nathtut | 0 | 445,683,249 | 100% | ||
htutkhaing | 0 | 451,552,822 | 100% | ||
kyawzinlin | 0 | 441,529,971 | 100% | ||
zinmyoo | 0 | 455,774,927 | 100% | ||
thawgyi | 0 | 441,531,535 | 100% | ||
tuntunlin | 0 | 441,531,599 | 100% | ||
thayhmyin | 0 | 451,555,027 | 100% | ||
santhirimay | 0 | 461,796,637 | 100% | ||
khunchokha | 0 | 451,556,503 | 100% | ||
zwelinkha | 0 | 451,556,428 | 100% | ||
khinthetsar | 0 | 445,675,783 | 100% | ||
tinmaung | 0 | 445,671,944 | 100% | ||
minminlat | 0 | 455,778,915 | 100% | ||
laylaymyint | 0 | 455,786,594 | 100% | ||
moezawko | 0 | 466,113,719 | 100% | ||
minthuhlaing | 0 | 455,787,520 | 100% | ||
khinaungmaw | 0 | 455,782,594 | 100% | ||
minminkhant | 0 | 445,675,080 | 100% | ||
khinmghtay | 0 | 466,109,748 | 100% | ||
athelayzar | 0 | 445,679,278 | 100% | ||
nwenetun | 0 | 451,558,923 | 100% | ||
htinlinaung7 | 0 | 445,678,567 | 100% | ||
naythwinnyein | 0 | 441,532,428 | 100% | ||
tharzaw | 0 | 451,561,416 | 100% | ||
ddominiclo | 0 | 183,413,171 | 50% |