Formulate the inverse of the statement If you don't exercise, then you will gain weight.
A)If you gain weight, then you didn't exercise.
B)If you exercise, then you gain weight.
C)If you do not gain weight, then you exercised.
D)If you do exercise, then you will not gain weight.

Question

Quizplus · Accepted Answer

The inverse of the statement "If you don't exercise, then you will gain weight" is "If you do exercise, then you will not gain weight." This is because the inverse switches the order of the hypothesis and conclusion and negates both. In other words, we negate "don't exercise" to "do exercise" and negate "will gain weight" to "will not gain weight." Option A is the converse of the original statement, while option B is not the opposite of the original statement, and option C is the contrapositive of the original statement.

Formulate the Inverse of the Statement If You Don't Exercise