5
AssignmentMultiple Choice

Precision in Measurement

Question 5 • AZ-Common Core Algebra II A

Let n be a whole number, and consider the statements below.p: n is a multiple of two.q: n is an even number.Which of the following is equivalent to ~q → ~p?

Answer
A
~q → ~p
B
q → p
C
p → q
D
~p →~q

Explanation

The contrapositive of an implication, ~q → ~p, is p → q; an implication and its contrapositive are logically equivalent. Here, that is p → q: if n is a multiple of two, then n is even. Therefore, the equivalent statement is choice C.

AI-written and checked against the verified answer.