How to reach the conclusion using logic laws/ rules of replacement?

Question

1) P ۷ Q

2) Q → R

3) ( P ۸ S ) → T

4)Not R

5) Not Q → (U ۸ S )

_______________

Therefore T

Answer 1

Looking at 4 and 2, by modus tollens you know Q is false. With that in mind, looking at 1 you know P is true. But also since Q is false by modus ponens, 5 tells you both U and S are true. So combining the last two sentences you know both P and S are true, so with statement 3 modus ponens tells you T is true.