2022TrialMultiple choice

Q3

1 mark

Question

Consider the statement:

“If $z$ is even, then $x$ and $y$ are either both even or both odd.”

Which of the following is equivalent?

A. If $x$ and $y$ are either both even or both odd, then $z$ is even.

B. If $z$ is odd, then exactly one of $x$ and $y$ is even.

C. If $x$ and $y$ are either both even or both odd, then $z$ is odd.

D. If exactly one of $x$ and $y$ is even, then $z$ is odd.

Try the question before revealing the answer.

Syllabus alignment

Proof

The Nature of ProofUse formal proof language, contradiction, counter-examples and rigorous arguments involving numbers and inequalities.

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