Help With Math please?

Question

1. Consider the conditional statement, "If n^2 is even, then n is even." To prove this statement by a line of indirect reasoning, identify the beginning alternative conclusion.
A.n^2 is not even
B.n^2 and n have opposite signs
C.n is odd
D.If n^2 is not even, then neither is n.

2. Consider the conditional statement, "If n^2 is even, then n is even." What is the hypothesis?
A.n is even
B.n^2 is even
C.n^2 and n must have the same sign
D.n^2 and n may have opposite signs

Answer 1

B and C

IMHO, the alternate hypothesis for the first would be "If n^2 is even, then n is odd or even".

Answer 2

1. A

The alternative proof they are illustrating is called the contrapositive.
To prove "A implies B", it is equivalent to prove that
"the opposite of B implies the opposite of A."

2. B

Answer 3

for
1. B is answer
2. A is answer

Answer 4

1.C
2.B

Answer 5

1.D
2.B