Question

If p is true and q is false, then p → q is true. True or False?

Answer 1

false

Explanation:

If p is true and q is false, then p → q is true.

true v true ----------- true

true v false -------- false

false v false---------- false

false v true ---------- false

Answer 2

False

Explanation:

The implication ...

true → false . . . . . . . not true

is the only implication with a truth value of False. All other combinations have a truth value of True.

true → true . . . . . . . . . . true

false → (anything) . . . . true