Please only do C. Explain why the answer is correct. If the answer is not correct...

Question

Question

Please only do C. Explain why the answer is correct. If the answer is not correct explain the right way thank you.

Consider the following propositions over the integers N. • p:n is a divisor of 12 • q: n is even What are the truth sets of a

Answer 1

Answer #1

Note:If p then q is called implication preposition. $p \rightarrow q$ referred q when p. Where q is necessary condition.

p: n is divisor of 12

q: n is even

( 12 is an even number and it is divisible itself also.)

The only one situation in which

$p \rightarrow q$ is not true , is when n is divisor of 12, yet n is not even.

Suppose n is not divisor of 12, then the implication $p \rightarrow q$ is true, no matter whether this not divisor of 12 is even or not.

So truth set is Z-{0}.

Truth table is attached also.

Answer 2

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