Question

What is the inverse of the following conditional statement?

"If a number is a prime number, then it has no factors other than one and itself."

A. If a number is not a prime number, then it has factors other than one and itself.
b. If a number has no factors other than one and itself, then it is a prime number.
c. A number is a prime number if and only if it has no factors other than one and itself.
d. If a number has factors other than one and itself, then it is not a prime number.

Answer 1

if then statements

"if" part = the condition

"then" part = the consequence.

Answer:

d. If a number has factors other than one and itself, then it is not a prime number.

Explanation:

simple example

Conditional statement: If it is raining outside, then I will wear my raincoat.

Inverse: If I am wearing my raincoat, then it must be raining outside.

inverse of a conditional statement flips the order of the condition and consequence