Question

Choose the correct statement about
(a) and (b) when: (a) A U$ = A; (b) $
NA = A
1 (a) & (b) are both true
2 (a) is true & (b) is false
3 (a) is false & (b) is true
4 (a) & (b) are both false
7:50 am​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

Choose the correct statement about (a) and (b) when:

(a) A ∪ Φ = A (b) Φ ∩ A = A

1. (a) & (b) are both true

2. (a) is true & (b) is false

3. (a) is false & (b) is true

4. (a) & (b) are both false

EVALUATION

We know that set is a well defined collection of distinct objects of our perception or of our thought to be conceived as a whole

Again the Φ is Empty set. It contains no element

Since Φ contains no element

Then for any set A

A ∪ Φ = A

Φ ∩ A = Φ

So (a) is true but (b) is False

Hence the correct option is

1. (a) & (b) are both true

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