Question

can someone help me to see if my answers are correct?

1: If p is true and q is true, then ~ p --> ~ q is ____ true.

a: always
b: sometimes
c: never

2: If p is true and ~ q is false, then p --> ~ q is _____ false.

a: always
b: never
c: sometimes

3: If p is true and q is false, the p --> q is _____true.

a: always
b: sometimes
c: never

4: When p is false and q is true, then p or q is ____ true.

a: always
b : never
c: sometimes

5: If p --> q is true and q is true, then p is true.
a: always
b: sometimes
c: never

My answers
1 : never
2 : never
3 : always

Answer 1

4 : sometimes
5 : always

Answer 2

tell me your reasoning on 1

Answer 3

1: If p is true and q is true,
then ~ p --> ~ q is ____ true.

-T --> -T
F --> F

do you recall your truth table for an if/then construct?

Answer 4

most of these rely on that one truth table .... and if i recall these correctly, youve muddled all of them.