# Fill in the blanks to make each of the following a true statement :

(i) A ∪ A′ = . . . (ii) φ′ ∩ A = . . .

(iii) A ∩ A′ = . . . (iv) U′ ∩ A = . . .

**Solution:**

We will fill in the blanks to make each of the following a true statement.

Let us assume that U is the universal set.

We know that the complement of a set A is denoted by A′ and A′ contains all the elements of U that are NOT in A. Then

**(i)** A υ A' = U

**(ii)** Φ' ∩ A = U ∩ A = A

**(iii)** A ∩ A' = Φ

**(iv)** U' ∩ A = Φ ∩ A = Φ

NCERT Solutions Class 11 Maths Chapter 1 Exercise 1.5 Question 7

## Fill in the blanks to make each of the following a true statement : (i) A ∪ A′ = . . . (ii) φ′ ∩ A = . . . (iii) A ∩ A′ = . . . (iv) U′ ∩ A = . . .

**Summary:**

We are asked to fill in the blanks to make each of the following a true statement. We have found that A υ A' = U, Φ' ∩ A = A, A ∩ A' = Φ and U' ∩ A = Φ.