First slide

Introduction to mathematical reasoning

Question

Negation of the statement “If a number is prime then it odd”, is

Moderate

A

A number is not prime but odd
B

A number is prime but it is not odd
C

A number is neither prime nor odd
D

none of these

Solution

Negation of $p \to q =\sim p \lor q is ~ (~ p \lor q) = p \land ~ q,$
that is, a number is prime and but it is not odd.

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