### Mathematical Logic Exercise 1.3 [Page 7] Balbharati solutions for Mathematics and Statistics 1 (Commerce) 12th Standard HSC Maharashtra State Board Chapter 1

EXERCISE 1.3PAGE 7

### Balbharati solutions for Mathematics and Statistics 1 (Commerce) 12th Standard HSC Maharashtra State Board Chapter 1 Mathematical Logic Exercise 1.3 [Page 7]

#### EXERCISE 1.3Q 1.1  PAGE 7

Exercise 1.3 | Q 1.1 | Page 7

Write the negation of the following statement.

All men are animals.

#### SOLUTION

Some men are not animals.

#### EXERCISE 1.3Q 1.2  PAGE 7

Exercise 1.3 | Q 1.2 | Page 7

Write the negation of the following statement.

− 3 is a natural number.

#### SOLUTION

– 3 is not a natural number.

#### EXERCISE 1.3Q 1.3  PAGE 7

Exercise 1.3 | Q 1.3 | Page 7

Write the negation of the following statement.

It is false that Nagpur is capital of Maharashtra

#### SOLUTION

Nagpur is capital of Maharashtra.

#### EXERCISE 1.3Q 1.4  PAGE 7

Exercise 1.3 | Q 1.4 | Page 7

Write the negation of the following statement.

2 + 3 ≠ 5

2 + 3 = 5

#### EXERCISE 1.3Q 2.1  PAGE 7

Exercise 1.3 | Q 2.1 | Page 7

Write the truth value of the negation of the following statement.



## √5 is an irrational number.

#### SOLUTION

Truth value of the given statement is T.

∴ Truth value of its negation is F.

#### EXERCISE 1.3Q 2.2  PAGE 7

Exercise 1.3 | Q 2.2 | Page 7

Write the truth value of the negation of the following statement.

London is in England.

#### SOLUTION

Truth value of the given statement is T.

∴ Truth value of its negation is F.

#### EXERCISE 1.3Q 2.3  PAGE 7

Exercise 1.3 | Q 2.3 | Page 7

Write the truth value of the negation of the following statement.

For every x ∈ N, x + 3 < 8.

#### SOLUTION

Truth value of the given statement is F.

∴ Truth value of its negation is T.