a) [5 marks] Construct the truth tables of the statements
(p ? ¬r) ? ¬(r ? ¬q) and p ? (q ? ¬r).
Determine whether they are logically equivalent.
b) [5×1 marks] In the questions below suppose that the variablex represents people, F (x): x is friendly, T (x): x is tall and A(x): x is angry. Write each of the following statement using thesepredicates and any needed quantifier:
i. Some people are not angry.
ii. All tall people are friendly.
iii. No friendly people are angry.
iv. Some tall angry people are friendly.
v. If a person is friendly, then that person is not angry.
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