Home
Class 11
MATHS
List all the elements of the following s...

List all the elements of the following sets :
(i) A = {x : x is an odd natural number}
(ii) `B={x:x" is an integer",-(1)/(2)ltxlt(9)/(2)}`
(iii) `C ={x:x " is an integer,"x^(2)le4}`
(iv) D = {x : x is a letter in the word 'LOYAL'}
(v) E = {x : x is a month of a year not having 31 days}
(vi) F = {x : x is consonant in the English alphabet which preceedes k}.

Text Solution

Verified by Experts

(i) {x : x is an off natural number}
`= {1,3,5,7….}`
(ii) `B={x:x" is an integer"-(1)/(2)ltxlt(9)/(2)}`
`={0,1,2,3,4}`
`C={x:x " is an integer,"x^(2)le4}`
`={x:x " is an inetger,"-2le x le2}`
`={-2,-1,0,1,2}`
(vi) D = {x : x is a month of the year not having 31 days}
= {February, April, June, September, Novmenber}
(vi) `F={x:x " is a consonnant in the english alphabet which precedes k"}`
`={b,c,d,f,g,h,j}`.
Promotional Banner

Topper's Solved these Questions

  • SETS

    NAGEEN PRAKASHAN|Exercise Exercise 1.2|6 Videos

  • SETS

    NAGEEN PRAKASHAN|Exercise Exercise 1.3|9 Videos

  • SETS

    NAGEEN PRAKASHAN|Exercise Exercise 1G|8 Videos

  • SEQUENCE AND SERIES

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|32 Videos

  • STATISTICS

    NAGEEN PRAKASHAN|Exercise MISCELLANEOUS EXERCISE|7 Videos

Similar Questions

Explore conceptually related problems

List all the elements of the following sets : (i) A ={x:x is an odd natural number} (ii) B= {x is an integer -(1)/(2)ltxlt(9)/(2)} (iii) C = {x:x is an integer, x^(2)le4} (iv) D= {x:x is a letter in the word LOYAL} (v) E= {x:x is a month of a year not having 31 days}

List all the elements of the following sets : (i) A= {x:x is an odd natural number} (ii) B= {x:x is an integer , -(1)/(2)ltxlt(9)/(2)} (iii) C={x:x^(2)le4,x inZ} (iv) D={x:x is a letter in the word LOYAL'} (v) E= {x:x is a month of a year not having 31 days } (vi) F= {x:x is a consonant in the English alphabet , which precedes k}.

List all the elements of the following sets : (i) A = {x : x is an odd natural number} (ii) B = {x : x is an integer, -1/2 (iii) C{x :x is an integer, x^2le4 (iv) D={x: x is a letter in the word loyal} (v) E= {x: x is a month of a year not having 31 days} (vi) F = {x : x is a consonant in the English alphabet which precedes k }.

List all the elements of the set B={x:x is an integer,-(1)/(2)

Write the following sets in the tabular from : (i) A={x:x is a positive prime lt20} (ii) B={x:x is a natural number lt10} (iii) C={x:x is an odd positive ineger and x^(2)lt30} (iv) D={x:x is a letter of the Engligh alphabet in the word 'LALLY'} (v) E={x"x is a natural number that divides 24}

Which of the following are empty sets ? (i) Set of odd natural numbers divisible by 2 (ii) {x:xlt5andxgt7,x inN} (iii) {x:x^(2)=25andx is an odd integer}.

Taking the set of natural numbers as the universal set, write down the complements of the following sets : (i) {x : x is an even natural number} (ii) {x : x is an odd natural number} (iii) {x : x is a positive multiple of 3} (iv) {x : x is a prime number} (v) {x : x is a natural number divisible by 3 and 5} (vi) {x : x is a perfect square} (vii) {x : x is a perfect cube} (viii) {x : x + 5 = 8} (ix) {x : 2x + 5 = 9} (x) {x : x ge 7} (xi) {x : x in N and 2x + 1 gt 10} .

Describe the following sets in roaster form: A={ x|x is a letter of the word MOVEMENT} 2) B={ x|x is an integer}

Taking the set of natural numbers as the universal set, write down the complements of the following sets: (i) {x : x is an even natural number} (ii) { x : x is an odd natural number } (iii) {x : x is a positive multiple of 3} (iv) { x : x is a prime number } (v) {x : x is a natural number divisible by 3 and 5} (vi) { x : x is a perfect square } (vii) { x : x is a perfect cube} (viii) { x : x + 5 = 8 }(ix) { x : 2x + 5 = 9} (x) { x : x ≥ 7 }(xi) { x : x ∈ N and 2x + 1 > 10 }