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
Write the negation of the following statement.
All men are animals.
SOLUTION
Some men are not animals.
EXERCISE 1.3Q 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
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
Write the negation of the following statement.
2 + 3 ≠ 5
SOLUTION
2 + 3 = 5
EXERCISE 1.3Q 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
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
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.
