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 (a) A∩B (b) L.C.M of 3 and 5 3. J = {1,2,3,4,…e even 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
post_id | 64,475,919 |
---|---|
author | thurrein |
permlink | 27zoye-behs-larpoh |
category | edu |
json_metadata | {"tags":["edu"],"app":"steemit\/0.1","format":"markdown"} |
created | 2018-10-18 12:55:27 |
last_update | 2018-10-18 12:55:27 |
depth | 0 |
children | 5 |
net_rshares | -612,179,138 |
last_payout | 2018-10-25 12:55:27 |
cashout_time | 1969-12-31 23:59:59 |
total_payout_value | 0.000 SBD |
curator_payout_value | 0.000 SBD |
pending_payout_value | 0.000 SBD |
promoted | 0.000 SBD |
body_length | 2,344 |
author_reputation | 1,890,891,748,489 |
root_title | "behs larpoh" |
beneficiaries | [] |
max_accepted_payout | 1,000,000.000 SBD |
percent_steem_dollars | 10,000 |
author_curate_reward | "" |
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nathtut | 0 | 556,000,000 | 100% | ||
htutkhaing | 0 | 550,935,070 | 100% | ||
htinlinkha | 0 | 550,917,087 | 100% | ||
kyawzinlin | 0 | 550,922,222 | 100% | ||
zinmyoo | 0 | 556,000,000 | 100% | ||
chogyi | 0 | 550,931,569 | 100% | ||
thawgyi | 0 | 550,927,765 | 100% | ||
tuntunlin | 0 | 550,927,840 | 100% | ||
thayhmyin | 0 | 550,932,276 | 100% | ||
naymintun | 0 | 556,000,000 | 100% | ||
wadyyun | 0 | 550,928,222 | 100% | ||
mgtharhco | 0 | 550,933,911 | 100% | ||
santhirimay | 0 | 550,929,160 | 100% | ||
khunchokha | 0 | 550,921,910 | 100% | ||
zwelinkha | 0 | 550,925,581 | 100% | ||
khinthetsar | 0 | 556,000,000 | 100% | ||
chitlayngenge | 0 | 550,933,654 | 100% | ||
tinmaung | 0 | 556,000,000 | 100% | ||
minminlat | 0 | 556,000,000 | 100% | ||
laylaymyint | 0 | 556,000,000 | 100% | ||
moezawko | 0 | 556,000,000 | 100% | ||
minthuhlaing | 0 | 556,000,000 | 100% | ||
khinaungmaw | 0 | 556,000,000 | 100% | ||
minminkhant | 0 | 556,000,000 | 100% | ||
khinmghtay | 0 | 556,000,000 | 100% | ||
athelayzar | 0 | 556,000,000 | 100% | ||
nwenetun | 0 | 550,928,658 | 100% | ||
htinlinaung7 | 0 | 556,000,000 | 100% | ||
naythwinnyein | 0 | 550,928,771 | 100% | ||
tharzaw | 0 | 550,927,447 | 100% | ||
ddominiclo | 0 | 205,205,252 | 50% |
Flagged for spam @steemflagrewards
post_id | 64,718,073 |
---|---|
author | bestofph |
permlink | re-thurrein-27zoye-behs-larpoh-20181022t150935095z |
category | edu |
json_metadata | {"tags":["edu"],"users":["steemflagrewards"],"app":"steemit\/0.1"} |
created | 2018-10-22 15:10:03 |
last_update | 2018-10-22 15:10:03 |
depth | 1 |
children | 4 |
net_rshares | 46,200,899,237 |
last_payout | 2018-10-29 15:10:03 |
cashout_time | 1969-12-31 23:59:59 |
total_payout_value | 0.040 SBD |
curator_payout_value | 0.013 SBD |
pending_payout_value | 0.000 SBD |
promoted | 0.000 SBD |
body_length | 34 |
author_reputation | 711,577,524,471 |
root_title | "behs larpoh" |
beneficiaries | [] |
max_accepted_payout | 1,000,000.000 SBD |
percent_steem_dollars | 10,000 |
author_curate_reward | "" |
voter | weight | wgt% | rshares | pct | time |
---|---|---|---|---|---|
steemflagrewards | 0 | 46,200,899,237 | 8% |
Steem Flag Rewards mention comment has been approved! Thank you for reporting this abuse, @bestofph. * spam You are repetitively posting the same content or recyling contents after a period of time. This post was submitted via our Discord Community channel. Check us out on the following link! [SFR Discord](https://discord.gg/7pqKmg5)
post_id | 64,720,053 |
---|---|
author | steemflagrewards |
permlink | re-re-thurrein-27zoye-behs-larpoh-20181022t150935095z-20181022t154209z |
category | edu |
json_metadata | {"links":["https:\/\/discord.gg\/7pqKmg5"],"users":["bestofph"],"app":"beem\/0.20.7","community":"SFR"} |
created | 2018-10-22 15:42:09 |
last_update | 2018-10-22 15:42:09 |
depth | 2 |
children | 3 |
net_rshares | 38,331,034,542 |
last_payout | 2018-10-29 15:42:09 |
cashout_time | 1969-12-31 23:59:59 |
total_payout_value | 0.033 SBD |
curator_payout_value | 0.011 SBD |
pending_payout_value | 0.000 SBD |
promoted | 0.000 SBD |
body_length | 336 |
author_reputation | 90,272,517,794,845 |
root_title | "behs larpoh" |
beneficiaries | [] |
max_accepted_payout | 1,000,000.000 SBD |
percent_steem_dollars | 10,000 |
author_curate_reward | "" |
voter | weight | wgt% | rshares | pct | time |
---|---|---|---|---|---|
flagawhale | 0 | 38,331,034,542 | 100% |
Follow on flag for spam @steemflagrewards.
post_id | 64,720,135 |
---|---|
author | noblebot |
permlink | re-steemflagrewards-re-re-thurrein-27zoye-behs-larpoh-20181022t154209z-20181022t154321434z |
category | edu |
json_metadata | {"app":"NobleBot\/2.0"} |
created | 2018-10-22 15:43:24 |
last_update | 2018-10-22 15:43:24 |
depth | 3 |
children | 0 |
net_rshares | 38,245,261,442 |
last_payout | 2018-10-29 15:43:24 |
cashout_time | 1969-12-31 23:59:59 |
total_payout_value | 0.033 SBD |
curator_payout_value | 0.008 SBD |
pending_payout_value | 0.000 SBD |
promoted | 0.000 SBD |
body_length | 42 |
author_reputation | 3,910,409,346,155 |
root_title | "behs larpoh" |
beneficiaries | [] |
max_accepted_payout | 1,000,000.000 SBD |
percent_steem_dollars | 10,000 |
author_curate_reward | "" |
voter | weight | wgt% | rshares | pct | time |
---|---|---|---|---|---|
deliberator | 0 | 9,209,805,707 | 50% | ||
steemflagrewards | 0 | 23,062,512,579 | 4% | ||
reazuliqbal | 0 | 5,972,943,156 | 10% |
Follow on spam @steemflagrewards
post_id | 64,720,403 |
---|---|
author | jplaughing |
permlink | re-steemflagrewards-re-re-thurrein-27zoye-behs-larpoh-20181022t154209z-20181022t154824328z |
category | edu |
json_metadata | {"app":"steemit\/0.1","users":["steemflagrewards"],"tags":["edu"]} |
created | 2018-10-22 15:48:27 |
last_update | 2018-10-22 15:48:27 |
depth | 3 |
children | 0 |
net_rshares | 32,329,240,032 |
last_payout | 2018-10-29 15:48:27 |
cashout_time | 1969-12-31 23:59:59 |
total_payout_value | 0.028 SBD |
curator_payout_value | 0.008 SBD |
pending_payout_value | 0.000 SBD |
promoted | 0.000 SBD |
body_length | 32 |
author_reputation | 7,451,131,400,254 |
root_title | "behs larpoh" |
beneficiaries | [] |
max_accepted_payout | 1,000,000.000 SBD |
percent_steem_dollars | 10,000 |
author_curate_reward | "" |
voter | weight | wgt% | rshares | pct | time |
---|---|---|---|---|---|
deliberator | 0 | 9,303,196,848 | 50% | ||
steemflagrewards | 0 | 23,026,043,184 | 4% |
Follow on flag for spam @steemflagrewards.
post_id | 64,734,250 |
---|---|
author | slobberchops |
permlink | re-steemflagrewards-re-re-thurrein-27zoye-behs-larpoh-20181022t154209z-20181022t202914518z |
category | edu |
json_metadata | {"users":["steemflagrewards"],"app":"steemit\/0.1","tags":["edu"]} |
created | 2018-10-22 20:29:15 |
last_update | 2018-10-22 20:29:15 |
depth | 3 |
children | 0 |
net_rshares | 271,940,469,456 |
last_payout | 2018-10-29 20:29:15 |
cashout_time | 1969-12-31 23:59:59 |
total_payout_value | 0.238 SBD |
curator_payout_value | 0.078 SBD |
pending_payout_value | 0.000 SBD |
promoted | 0.000 SBD |
body_length | 42 |
author_reputation | 328,599,324,760,066 |
root_title | "behs larpoh" |
beneficiaries | [] |
max_accepted_payout | 1,000,000.000 SBD |
percent_steem_dollars | 10,000 |
author_curate_reward | "" |
voter | weight | wgt% | rshares | pct | time |
---|---|---|---|---|---|
deliberator | 0 | 9,784,566,611 | 50% | ||
steemflagrewards | 0 | 262,155,902,845 | 45% |