Find a logically equivalent statement of If your GPA is above 3.5, then you are eligible for membership of the honor society X.
A)If your GPA is not greater than 3.5, then you are not eligible for membership of the honor society X.
B)If you are not eligible for membership of the honor society X, then your GPA is above 3.5.
C)If you are not eligible for membership of the honor society X, then your GPA can't be greater than 3.5.
D)If you are eligible for membership of the honor society X, then your GPA is above 3.5.

Question

Quizplus · Accepted Answer

The logically equivalent statement to "If your GPA is above 3.5, then you are eligible for membership of the honor society X" is its contrapositive, which is "If you are not eligible for membership of the honor society X, then your GPA can't be greater than 3.5." This is because in logic, the contrapositive of a conditional statement is always logically equivalent to the original statement.

Find a Logically Equivalent Statement of If Your GPA Is