Question

Negation of the statement : √5 is an integer or 5 is irrational is: 

(1) √5 is irrational or 5 is an integer. 

(2) √5 is not an integer and 5 is not irrational. 

(3) √5 is an integer and 5 is irrational. 

(4) √5 is not an integer or 5 is not irrational.

Answer 1

Answer is (2)

p = √5 is an integer

q : 5 is irrational

~(p ∨ q) ≡ ~ p ∧ q

= √5 is not an integer and 5 is not irrational.

Answer 2

Answer is (2)