(i) For any two sets A ∩ B = Φ always. (ii) If A and B are disjoint sets then n(A ∪ B) = n (A) + n (B)

Question

State true or false for the following statements in each questions:

(i) For any two sets A ∩ B = Φ always.

(ii) If A and B are disjoint sets then

n(A ∪ B) = n (A) + n (B)

(iii) If X = {1, 2, 3} and Y = {x:x ∈ R and 1 ≤ x ≤ 3}, then X = Y.

(iv) Set {a, b, c, d} and {d, c, b, a} are equal sets.

(v) If A = {Φ, 1, 2, {3}, {4}, 5}, then (1, 2, {3}} ∈ A.

Answer 1

(i) False

(ii) True

(iii) False

(iv) True

(v) False