Question

Identify the converse of the statement R → S: "If it rains, then he will stay home."

Question 6 options:

A)

∼R → ∼S: If it doesn't rain, then he won't stay home.

B)

∼R → S: If it doesn't rain, then he will stay home.

C)

S → R: If he stays home, then it will rain.

D)

R ↔ S It will rain if and only if he stays home.

Answer 1

C

Explanation:

Answer 2

The correct option C:

C) S → R: If he stays home, then it will rain.

Explanation:

There are three main transformation for an if-then statements. These three are names are converse, inverse and contrapositive.

If the statement is given:

R → S: "If it rains, then he will stay home."

Then its Converse will be:

S → R: If he stays home, then it will rain.

Its Inverse will be:

∼R → ∼S: If it doesn't rain, then he won't stay home.

Its Contrapositive will be the inverse of the converse.