Question

Which of these true conditional statements has a true converse?

(a) If x>3 then 2x>6
(b) If x>3 then x>2
(c) If x>3 then x>0
(d) If x>3 then x>-3

Answer 1

The converse would be true if they are equivalent, since equivalence means
\(p->q \land q->p\)
So for any statement where the left-hand side is equivalent to the right-hand-side, the converse would be true.
Can you spot the choice?

Answer 2

(d)?

Answer 3

Only if is 3 equivalent to -3?

Answer 4

oh it is (a)\

Answer 5

Cuz two times 3 is 6

Answer 6

Yep, that's the correct answer! Well-done!
:)

Answer 7

Thank you :)

Answer 8

You're welcome!