Consider the following statements: A : Rishi is a judge.

Question

Consider the following statements:

A : Rishi is a judge.

B : Rishi is honest.

C : Rishi is not arrogant.

The negation of the statement "if Rishi is a judge and he is not arrogant, then he is honest" is

Accepted Answer

$$\because$$ Given statement is

(A $$\wedge$$ C) $$\to$$ B

Then its negation is

$$\sim$$ {(A $$\wedge$$ C) $$\to$$ B}

or $$\sim$$ {$$\sim$$ (A $$\wedge$$ C) $$\vee$$ B}

$$\therefore$$ (A $$\wedge$$ C) $$\wedge$$ ($$\sim$$ B)

or ($$\sim$$ B) $$\wedge$$ (A $$\wedge$$ C)

Solutions · 1