Q:

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

Accepted Solution

A:
It seems like the details of what p and q are in this context aren't all that important; it's the logical structure of the statement "p⇒q" we need to look at. We read that logical statement as "p implies q," where p is our hypothesis and q is our conclusion. When we take the converse of a logical statement, we reverse the hypothesis and the conclusion. In this case, p wouldn't imply q, but q would imply p in the converse of p⇒q. We'd write this statement as:

q⇒p