Write the negation of the following statement. 7 is prime number and Tajmahal is in Agra.

QUESTION

Miscellaneous Exercise 1 | Q 4.22 | Page 34

Write the negation of the following statement.

7 is prime number and Tajmahal is in Agra.

SOLUTION

Let p : 7 is prime number.
q : Tajmahal is in Agra.

The given statement in symbolic form is p ∧ q.

Its negation is ~(p ∧ q) ≡ ~p ∨ ~q.

∴ The negation of given statement is '7 is not prime number or Tajmahal is not in Agra.'