To prove that "An integer n is divisible by 7 if and only if n2 is divisible by 7," we need to prove two separate implications. The answer choices list pairs of implications. For which pair(s) would proving both statements constitute a proof of the given biconditional statement? It is possible that either one or two of these answers may be correct.

The proving statements in the given choices should be:

If n is an integer such that n is divisible by 7, then n² is divisible by 7.

If n is an integer such that n is not divisible b 7, then n² is not divisible by 7

Step-by-step explanation:

- The statement to be proved is "An integer n is divisible by 7 if an only if n² is divisible by 7"

- The statement can be divided into two individual statements as

 - A = An integer n is divisible by 7

 - B = An integer n² is divisible by 7

- Thus the statements to be connected by the relation "If and only if" or implications from both sides.

- In notation we need to prove A <=> B

- To prove A <=> B need to satisfy two implications:

  - A => B and B => A

- None of the given statements are directly from A => B and B => A thus test whether any combination results in A => B and B => A

The first choice is as follows:

check the attached files for additional details

answer. d.289 hope that

answer: it is 8

step-by-step explanation:

you know why its 8