Advertisements
Advertisements
Question
Given the universal set = {x : x ∈ N and x < 20}, find :
A = {x : x = 3p ; p ∈ N}
Solution
Universal set = {x : x ∈ N and x < 20}
= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11,....,19}
A = {x : x = 3p ; p ∈ N}
x = 3p
When p = 1,
x = 3 x 1
= 3
When p = 2,
x = 3 x 2
= 6
When p = 3,
x = 3 x 3
= 9
When p = 4,
x = 3 x 4
= 12
When p = 5,
x = 3 x 5
=15
When p = 6,
x = 3 x 6
= 18
∴ A = {3, 6, 9, 12, 15, 18}
APPEARS IN
RELATED QUESTIONS
Let all the students of a class is an Universal set. Let set A be the students who secure 50% or more marks in Maths. Then write the complement of set A.
Given the universal set = {-7,-3, -1, 0, 5, 6, 8, 9}, find: B = {x : -4 < x < 6}
Given the universal set = {x : x ∈ N and x < 20}, find:
B = {y : y = 2n + 3, n ∈ N}
Given universal set = {x ∈ Z : -6 < x ≤6}.
N = {n : n is non-negative number}
Find: N'
Given universal set = {x ∈ Z : -6 < x ≤ 6}. P = {x : x is a non-positive number}. Find: P'
Given A = {x : x ∈ N and 3 < x ~ 6} and 8 = {x : x ∈ W and x < 4}. Find: A ∪ B
If A = {4, 5, 6, 7, 8} and B = {6, 8, 10, 12}, find: A - B
If A = {3, 5, 7, 9, 11} and B = {4, 7, 10}, find: n(A)
If A = {3, 5, 7, 9, 11} and B = {4, 7, 10}, find: A∪B and n(A∪B)
If A = {3, 5, 7, 9, 11} and B = {4, 7, 10}, find: A ∩ B and n(A ∩ B)
