Question

Read the statements shown in the chart below.

Original Statement

“If it’s a garage sale, then it’s a Sunday.”
Statement 1

“If it’s a Sunday, then it’s a garage sale.”
Statement 2

“If it’s not a Sunday, then it’s not a garage sale.”
Statement 3

“If it’s not a garage sale, then it’s not a Sunday.”

Which option is correct?

Statement 2 is a converse, and statement 3 is an inverse of the original statement.

Statement 1 is a converse, and statement 3 is a contrapositive of the original statement.

Statement 2 is an inverse, and statement 1 is a contrapositive of the

Answer 1

Statement 2 is a converse, and statement 3 is an inverse of the original statement.

Original Statement: “If it’s a garage sale, then it’s a Sunday.”
(if p, then q)
A converse statement does this to the original: if q, then p.
An inverse statement does this to the original: if not p, then not q.

Clearly, you can see that this is true for the selected answer.