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----- It's Discrete Mathematics 1.Write each set using set-builder notation. a) C = {...,1/ 27, 1/9,...

----- It's Discrete Mathematics

1.Write each set using set-builder notation.

a) C = {...,1/ 27, 1/9, 1/3,1,3,9,27,....}

2.  Verify the following De Morgan’s Law: ¬(P ∧Q) ≡ (¬P)∨(¬Q).

3.  Let P and Q be statements. Show that [(P ∨Q)∧¬(P ∧Q)] ≡ ¬(P ↔ Q).
4.  For statements P, Q, and R, show that ((P → Q)∧(Q → R)) → (P → R) is a tautology.

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