2020HSCMultiple choice
Q8
1 mark
Question
Consider the statement: “If is even, then if is a multiple of , then is a multiple of ”. Which of the following is the negation of this statement?
A. is odd and is not a multiple of or .
B. is even and is a multiple of but not a multiple of .
C. If is even, then is not a multiple of and is not a multiple of .
D. If is odd, then if is not a multiple of then is not a multiple of .
Syllabus alignment
Proof
- The Nature of ProofUse formal proof language, contradiction, counter-examples and rigorous arguments involving numbers and inequalities.