Question

If we know that p → q is true and p is true, what do we know about q?

a. q is false
b. q is true
c. q must be negated
d. q could be either true or false

Answer 1

It will be true it will be false if p or q is fals

Answer 2

B

Explanation:

If p and q are both true, then p→q is true.

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

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

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

So if you know that p→q and p are both true, then q must be true (because if q is false, then p→q must be false).