Write the negation of the following. Ramesh is intelligent and he is hard working.

QUESTION

Miscellaneous Exercise 1 | Q 4.1 | Page 32

Write the negation of the following.

Ramesh is intelligent and he is hard working.

SOLUTION

Let p : Ramesh is intelligent.
q : Ramesh is hard working.
The given statement is p ∧ q.

Its negation is ~(p ∧ q) ≡ ~ p ∨ ~ q

∴ The negation of the given statement is ‘Ramesh is not intelligent or he is not hard-working.’