Question

Given:

p: 2x = 16
q: 3x – 4 = 20
RE
Which is the converse of p - q?
ООО
If 2x + 16, then 3x - 47 20.
If 3x - 420, then 2x + 16.
If 2x = 16, then 3x – 4 = 20.
If 3x - 4 = 20, then 2x = 16

Answer 1

Answer: Therefore, the correct option is D.

Explanation:

Given:

p: 2x = 16

q: 3x – 4 = 20

RE

Which is the converse of p - q?

ООО

If 2x + 16, then 3x - 47 20.

If 3x - 420, then 2x + 16.

If 2x = 16, then 3x – 4 = 20.

If 3x - 4 = 20, then 2x = 16

To find:

The converse of .

Solution:

The statement means if p, then q and the converse of this statement is .

means if q , then p.

We have, and .

So, the converse of given statement is:

If , then .

Therefore, the correct option is D.

Answer 2

Given:

The given statements are:

`p:2x=16`

`q:3x-4=20`

To find:

The converse of
`p\to q`.

Solution:

The statement
`p\to q` means if p, then q and the converse of this statement is
`q\to p`.

`q\to p` means if q , then p.

We have,
`p:2x=16` and
`q:3x-4=20`.

So, the converse of given statement is:

`q\to p:` If
`3x-4=20`, then
`2x=16`.

Therefore, the correct option is D.