Rewrite the conditional statement in a simpler way

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Question: 1. Decide whether or not it is true that (A×B)∪(C×D)=(A∪C)×(B∪D). If true, give a proof. If false, give a counterexample.

2. Show that if A and B are sets, then if A\B = 0, then / B = 0 (unless / A = 0).

3. Suppose R is false but that (P ⇒ Q) ⇔ (R ∧ S) is true. Is P true or false? What about Q?

4. Could we rewrite the conditional ((c > 5 && b == a) || c >= 5) in a simpler way? If so, what is it? (Suggestion: use a truth table.)

Reference no: EM131584551

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