An "interpretation" for a logical statement consists of a domain D (any non-empty set of elements) and a meaning for each predicate symbol. For example, D = {1,2} and P(x): "r> 0" is an interpre- tation for the statement Vr € D, P(x) (in this case, one that happens to make the statement true). For each statement below, provide one interpretation under which the statement is true and another interpretation under which the statement is false- if either case is not possible, explain why clearly and concisely. You may reuse examples if you wish. (a) (b) (c) 3D, Vy D, P(x,y) ⇒ P(y,x) Vr D. Vy D, P(x,y)=P(y,x)]^ Vr D.Vy D.-P(x, y)] D. Q(x)] → [V1 € D, P(x)]

Can you please show how the math is done in one of the calculations, I cannot figure out what is being done? Thanks

This topic is difficult,  please can you explain me step-by-step. Thank you

I watched the video on help with this question and I'm still not understanding it. Please help.

Please make sure you answer all of it it is all one question