Home
Class 11
MATHS
Which of the following pairs of sets are...

Which of the following pairs of sets are disjoint ?
(i) `{1,2,3,4}` and {x : x is natural number and `4 le x le 6`}
(ii) `{a,e,i,o,u} and {c,d,e,f}`
(iii) {x : x is an even inetger} and {x : x is an odd inetger}.

Text Solution

Verified by Experts

(i) `{1,2,3,4}` and {x : x is a natural number and `4 le x le 6} = {4,5,6}`
`:.` 4 is common element in the two sets
Therefore, pair of sets is not disjoint
(ii) `{a,e,i,o,u} and {c,d,e,f}`
`because` Element e is common is two sets
Therefore, pair of sets is not disjoint
(iii) {x : x is an even inetger} = {2,4,6,8,10,....}
{x : x is an odd integer} = {1,3,5,7,9,...}
`:.` No element is common in two sets
Therefore, pair of sets is disjoint.
Promotional Banner

Topper's Solved these Questions

  • SETS

    NAGEEN PRAKASHAN|Exercise Exercise 1.5|7 Videos

  • SETS

    NAGEEN PRAKASHAN|Exercise Exercise 1.6|8 Videos

  • SETS

    NAGEEN PRAKASHAN|Exercise Exercise 1.3|9 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

Which of the following pairs of sets are disjoint (i) {1," "2," "3," "4} and {x : x is a natural number and 4 lt=xlt= 6 } (ii) {a ," "e ," "i ," "o," "u" "} and {" "c ," "d ," "e ," "f} (iii) {x : x is an even integer } and {x : x is an odd

Which of the following sets are equal? A={x : x in N ,x<4,},B={1,1,2,3,3},C={1,3},D={x : x is an odd natural number <5}

Find the union of each of the following Pairs of sets: A= {x:x is a natural number and 1 lt x le 6 } B= {x:x is a natural number and 6 lt x le 10 }

Which of the following are pairs of equivalent sets ? (i) A={-2,-1,0) and B ={1,2,3} (ii) C ={x:x in N, x lt 3} and D= {x:x in W, x lt 3} (iii) E={a,e, i,o,u}and F ={p,q,r,s,t}

Find the union of each of the following pairs of sets :(i) X= {1, 3, 5} Y= {1, 2, 3} (ii) A = [a , e , i , o, u} B = [a , b , c} (iii) A = {x : x is a natural number and multiple of 3} B = {x : x is a natural number less than 6} (iv) A = {x : x is a natural number and 1 (v) A = {1, 2, 3}, B = φ

Which of the following sets are equal ? A={x:x inN,xlt4},B=(1,1,2,3,3},C={1,3},D={x:x is an odd natural number lt5} E={1,2,3},F={1,1,3}

Find the union of each of the following pairs of sets : (i) X = {1,3,5} " " Y={1,2,3} (ii) A = {a,e,i,o,u}" "B={a,b,c} (iii) A = {x : x is a natural number and multiple of 3} B = {x : x is a natural number less than 6} (iv) A = {x : x is a natural number and 1 lt x le 6 } B = {x : x is a natural number and 6 lt x lt 10 } A = {1,2,3}, B = phi .

Which of the following sets are pairs of disjoint sets? Justify yours answer : (i) A = {3,4,5,6} and B={2,5,7,9} (ii) C={1,2,3,4,5} and D={6,7,9} (iii) E={x:x in N, ix "is even and" x lt 8} F={x:x =3n,n in N and n lt 4} (iv) G={x:x in N,x " is even"} and H ={x:x in N, x " is a prime" } (v) J={x:x in N,x " is a even} and K={x:x in N, x "is odd"}

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 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}.