(Solved) : 5 Marks Construct Truth Tables Statements P R R Q P Q R Determine Whether Logically Equiv Q27939280 . . . .

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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