What is the converse of If it is raining, then we will not go to the beach?

[Leo34005]

What is the converse of "If it is raining, then we will not go to the beach?"

Homework Statement

What is the converse of "If it is raining, then we will not go to the beach?"

Homework Equations

A) If it is not raining, then we will go to the beach.
B) We will go to the beach if and only if it is not raining.
C) If we go to the beach, then it is not raining.
D) If we do not go to the beach, then it is raining.
E) None of the above.

The Attempt at a Solution

Statement: "If it is raining, then we will not go to the beach?"

Inverse: If it is not raining, then we will go to the beach.

Contrapositive: If we go to the beach, it is not raining.

Converse: If we do not go to the beach, it is raining.

CHOICE D

 

[VietDao29]

Homework Statement

What is the converse of "If it is raining, then we will not go to the beach?"

Homework Equations

A) If it is not raining, then we will go to the beach.
B) We will go to the beach if and only if it is not raining.
C) If we go to the beach, then it is not raining.
D) If we do not go to the beach, then it is raining.
E) None of the above.

The Attempt at a Solution

Statement: "If it is raining, then we will not go to the beach?"

Inverse: If it is not raining, then we will go to the beach.

Contrapositive: If we go to the beach, it is not raining.

Converse: If we do not go to the beach, it is raining.

CHOICE D

Perfect.. :)

A little missing is that you seem to opt out the "then", in your 2 last statements.

"Contrapositive: If we go to the beach, then it is not raining.

Converse: If we do not go to the beach, then it is raining."