p: 2x = 16 q: 3x – 4 = 20 Which is the converse of p ? q?

Question

A) If 2x ≠ 16, then 3x – 4 ≠ 20.
B) If 3x – 4 ≠ 20, then 2x ≠ 16.
C) If 2x = 16, then 3x – 4 = 20.
D) If 3x – 4 = 20, then 2x = 16.

Answer 1

The converse of p⇒q (if p, then q) is q⇒p (if q, then p).

 

So the converse of "if 2x = 16, then 3x-4 = 20" is:

 

   "if 3x-4 = 20, then 2x = 16"  (choice D)