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Oksanka [162]
3 years ago
15

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

Mathematics
2 answers:
a_sh-v [17]3 years ago
8 0

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

valentina_108 [34]3 years ago
4 0
It seems like the details of what p and q <em>are </em>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 <em>hypothesis</em> and q is our <em>conclusion</em>. When we take the converse of a logical statement, we reverse the hypothesis and the conclusion. In this case, <em>p </em>wouldn't imply <em>q</em>, but <em>q </em>would imply <em>p</em> in the converse of p⇒q. We'd write this statement as:

q⇒p
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