Question

The negation of the statement "If you don't work bard you will not become successful." is ______ 

Options

• You don't work hard or you will become successful.

• You work hard and you will not become successful.

• You don't work hard and you will become successful.

• You work hard and you will become successful.

Answer 1

The negation of the statement "If you don't work hard you will not become successful." is You don't work hard and you will become successful.

Explanation:

p: You don't work hard.

q: You will not become successful.

The symbolic form is p → q

∼(p → q) ≡ p ∧ ∼q

i.e., You don't work hard and you will become successful.