Balbharati Maharashtra State Board 12th Commerce Maths Solution Book Pdf Chapter 1 Mathematical Logic Ex 1.3 Questions and Answers.

## Maharashtra State Board 12th Commerce Maths Solutions Chapter 1 Mathematical Logic Ex 1.3

Question 1.

Write the negation of each of the following statements:

(i) All men are animals.

Solution:

Some men are not animals.

(ii) 3 is a natural number.

Solution:

-3 is not a natural number.

(iii) It is false that Nagpur is the capital of Maharashtra.

Solution:

Nagpur is the capital of Maharashtra.

(iv) 2 + 3 ≠ 5.

Solution:

2 + 3 = 5.

Question 2.

Write the truth value of the negation of each of the following statements:

(i) √5 is an irrational number.

Solution:

Let p : √5 is an irrational number.

The truth value of p is T.

Therefore, the truth value of ~p is F.

(ii) London is in England.

Solution:

Let p : London is in England.

The truth value of p is T.

Therefore, the truth value of ~p is F.

(iii) For every x ∈ N, x + 3 < 8.

Solution:

Let p : For every x ∈ N, x + 3 < 8.

The truth value of p is F.

Therefore, the truth value of ~p is T.