Question

Which statement is a contrapositive of p? p: If x is divisible by 4, then x is divisible by 2. A. If x is divisible by 2, then x is divisible by 4. B. If x isn’t divisible by 4, then x isn’t divisible by 2. C. If x isn’t divisible by 2, then x isn’t divisible by 4. D. If x is divisible by 2, then x isn’t divisible by 4. E. If x isn’t divisible by 4, then x is divisible by 2.

Answer 1

Answer:

B. If x isn’t divisible by 4, then x isn’t divisible by 2.

Step-by-step explanation:

contra positive statement is obtained by interchanging the hypotheses and conclusion of the inverse statement.

Here given that statement p is

If x is divisible by 4, then x is divisible by 2.

To write contrapositive of p, first we interchange the hypothesis.

Then it would look like

If x is divisible by 2, then x is divisible by 4.

Now we make conclusion as negative. i.e.

If x is not divisible by 4, then x is not divisible by 2.

This is the contra positive statement of p

Hence option B is right.

Answer 2

Answer:

C. If x isn’t divisible by 2, then x isn’t divisible by 4.

Step-by-step explanation:

I just took a test with this question and this was the right answer

~Please mark me as brainliest : )