Exercise 1.3 (1)

1. Write the negation of each of the following statements.

i) All men are animals.
Ans: Let p : All men are animals.
       ∴ Negation of given Statement : ~p : Some men are not animals.

ii) − 3 is a natural number.
Ans: Let p : − 3 is a natural number.
        ∴ Negation of given Statement : ~p : − 3 is not a natural number

iii) It is false that Nagpur is capital of Maharashtra
Ans: Let p : It is false that Nagpur is capital of Maharashtra
        ∴ Negation of the given Statement : ~p :”Nagpur is capital of Maharashtra”

iv) 2 + 3 ≠ 5
Ans: Let p : 2 + 3 ≠ 5
         ∴ Negation of the given Statement : ~p : 2 + 3 = 5