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For three statements P, Q and R, use truth tables to verify the following. (a) (P...

For three statements P, Q and R, use truth tables to verify the following.
(a) (P ⇒ Q) ∧ (P ⇒ R) ≡ P ⇒ (Q ∧ R).
(c) (P ⇒ Q) ∨ (P ⇒ R) ≡ P ⇒ (Q ∨ R).

(e) (P ⇒ Q) ∧ (Q ⇒ R) ≡ P ⇒ R.

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