Question

Which of the following illustrates the truth value of the given conditional statement? If ice is hot, then rain is wet.

F T → T
T T → T
T F → F
F F → T

Answer 1

If ice is hot(False) then rain is wet(true) = FT --> T

Answer 2

Answer: The correct option is (A) F T → T.

Step-by-step explanation: We are given to select the correct illustration of the truth value of the following conditional statement :

"If ice is hot, then rain is wet".

Let p : Ice is hot. This is a false statement.

And

q : rain is wet. This statement is true.

We know that

The statement "if p then q" is written as p ⇒ q.

Since p is false and q is true, so p ⇒ q will be true.

That is,

p q p ⇒ q

F T T

Thus, the correct illustration is F T → T.

Option (A) is CORRECT.