Discrete Mathematics

[Guest]

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Can someone helps me to solve these questions?

[HallsofIvy]

For (a), [tex]\forall x P(x) V Q(x)[/tex], P and Q must have the same domain of discourse because the same "x" has to apply to both P and Q. But for [tex]\forall x P(x) V \forall x Q(x)[/tex] P and Q can have different domains of discourse because the "x"s can be different for P and Q. In fact, for the second I would prefer [tex]\forall x P(x) V \forall y Q(y)[/tex] to make that point clearly.

[Raiden Mitchell]

For me, discrete mathematics is one of the most difficult areas of mathematics that can be. I am grateful to you for explaining how this task is performed. It seems to me that I need to take a course or work with a tutor to understand discrete calculations.