Question

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

Answer 1

Answer:

If q:3x-4=20 then p:2x=16

Step-by-step explanation:

We are given that two statement p and q

p:2x=16

q:3x-4=20

We have to find the converse of given statements.

Converse:

If p then q.

Converse statement

If q then p.

$q\implies p$

Therefore, definition of converse

q: 3x-4=20

p: 2x=16

If q:3x-4=20 then p:2x=16

Answer 2

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