Question

Which conditional has the same truth value as its converse?

Answer 1

All statements are true, but if you try to reverse them they won't necessarily be true.

Let's try:

Square ⇒ Has 4 sides

But if something has 4 sides it doesn't mean it's a square (example: rectangle)

Angle is 80° ⇒ acute angle

But acute angle is any angle below 90°, not just 80° so the reverse isn't true.

x – 17 = 4 ⇒ x = 21

And if we reverse

x = 21 ⇒ x – 17 = 4

we see that it's true for either direction.

x = 7 ⇒ |x| = 7

But |x| = 7 doesn't mean that x has to be 7, x can also be -7, so the reverse isn't true.

x – 17 = 4, then x = 21

Explanation: