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 }
NCERT Solutions for Class 11th Mathematics Chapter 1 Exercise 1.5 3
Answers
Answered by
28
U = set of natural numbers = N
1) { x : x is an odd natural number, x = 2 k +1, k ∈ N }
2) { x : x is an even natural number , x = 2k, k ∈ N }
3 ) {x : x = 3 k +1 or 3 k +2, k ∈ N }
4) {x : x is a composite number, x = p q, p and q ∈ N, and p ≠1, q ≠ 1 }
5) { x : x ≠ 15 k, k ∈ N }
6) { x : x ≠ k², k ∈ N }
7) { x : x ≠ k³ , k ∈ N }
8) { x : x ≠3 , x ∈ N - {3} }
9) { x : x ≠2 , x ∈ N - {2} }
10) { x : x < 7 }
11) { x : x <= 4.50 }
1) { x : x is an odd natural number, x = 2 k +1, k ∈ N }
2) { x : x is an even natural number , x = 2k, k ∈ N }
3 ) {x : x = 3 k +1 or 3 k +2, k ∈ N }
4) {x : x is a composite number, x = p q, p and q ∈ N, and p ≠1, q ≠ 1 }
5) { x : x ≠ 15 k, k ∈ N }
6) { x : x ≠ k², k ∈ N }
7) { x : x ≠ k³ , k ∈ N }
8) { x : x ≠3 , x ∈ N - {3} }
9) { x : x ≠2 , x ∈ N - {2} }
10) { x : x < 7 }
11) { x : x <= 4.50 }
Similar questions