Home
Class 11
MATHS
Find the union of each of the following ...

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`.

Text Solution

AI Generated Solution

To find the union of each pair of sets, we will follow the definition of union. The union of two sets A and B, denoted as A ∪ B, is the set of elements that are in A, in B, or in both. Let's solve each part step by step: ### (i) X = {1, 3, 5}, Y = {1, 2, 3} 1. **Identify the elements in both sets:** - X contains: 1, 3, 5 ...
Doubtnut Promotions Banner Mobile Dark
|

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

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

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 }

If A = { x : x is an even natural number}, B = { x : x is a natural number and multiple of 5 } and C= { x : x is a natural number and multiple of 10}, then what is A cap(B cup C) equal to ?

If A= {x : x is a natural number}, B = {x : x is an even natural number} C = {x : x is an odd natural number} and D = {x : x is a prime number }, find (i) A nnB (ii) A nnC (iii) A nnD (iv) B nnC (v) B nnD (vi) C nnD

If A = {x : x is a natural number}, B = {x : x is an even natural number}, C = {x : x is an odd natural number} and D = {x : x is a prime number}, Find : (i) A cap B (ii) A cap C (iii) A cap D (iv) B cap C (v) B cap D (vi) C cap D .

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}.

Define a relation R on the set N of all natural numbers by R = {(x, y) : y = x + 5, x is a natural number less than 4)

Find the (a) union (b) intersection of each of the following pairs of sets: (i) A={x:x inZ^(+)andx^(2)gt7},B={1,2,3} (ii) A={x:x inZ^(+)},B= x inZandx lt0} (iii) A={x:x inNand4 ltx lt9} .

Are the following pairs of sets equal ? (i) A={x | x is prime factor of 6 } B={x |x is a solution of x^2 - 5x + 6 = 0 } Mlbtr (ii) A={x|y is a letter in the word REPLACED}, B= { y is a letter in the word PARCELED } (iii) A= { x| x is a natural number x gt 1} B= {x|x is natural number x ge 1}

Let A= {x:x is natural number}, B= {x:x is an even natural number}, C = {x:x is an odd natural number}, D= {x:x is a prime number }. Find (i) AcapB (ii) AcapC (iii) AcapD (iv) BcapC (v) BcapD (vi) CuuD .

Home
Profile