Question

If p is true and q is false, the p->q is ____

true.
never
always
sometimes

Answer 1

Answer: Never

Step-by-step explanation:

The notation p -> q refers to a conditional statement.

Conditionals are only false when the first part (p) is true while the second part (q) is false. In other words, the template true --> false ultimately leads to a false statement. Otherwise, the entire thing is true.

In our case, we have something that fits the "true -> false" template, so that's why p -> q is never true when p = true and q = false.

Answer 2

never

Step-by-step explanation:

p->q means if p is true, then q must also be true

but since q is false, p->q is never true