What is the truth value for the following conditional statement?

p: false

q: false

∼p → ∼q

T F → T

F T → F

F F → T

T T → T

TT→T

Step-by-step explanation:

If p is false, then ~p is true.

If q is false, then ~q is true.

Now note that

If a and b are both true, then a→b is true. If a is true, b is false, then a→b is false. If a is false, b is true, then a→b is true. If a and b are both false, then a→b is true.

In your case, both~p and ~q are true, then ~p→~q is true too (or TT→T)