Question 2 [14 marks]. Show, using truth tables, that (a) ¬(p V q) ^r = -p^ (¬g Ar), (b) ¬ q V (q V p) is a tautology.

Give a truth–table proof to tautology((¬q⇒¬p)Λp) =⇒q

Let A = {1, 2, 3, 4, 5). Determine the truth value of each of the following statements: 1. (3x A) (x + 3 = 10) 2. (VxEA) (x + 3 < 10) 3. (3xEA) (x + 3 < 5) 4. (VxEA) (x + 3 ≤ 7)

Determine whether the following proposition is a tautology:(¬p∨¬(r⟶q))⟷(p⟶(¬q∧r)).  can i get a non handwritig answer please so it would be easy to copy

4. Let p, q, and r be propositions. (a) Is (p V q) ^ (p → r) ^ (q → r) → r a valid or an invalid argument? (b) Are the following statements P and Q logically equivalent? P: ¬(-p^ q) ^ (p V q) ^ q. Q: P^q.

Show that [P (QV R)] → [(P → R) V (P Q)] is a tautology Question 5 using a truth table.

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2. Construct a truth table for each of these compound propositions a) (p-->q) ^ (-p -->r) b) (pq) v (-q r) c) (-p -q) (qr)

Give a truth–table proof to tautology((¬q⇒¬p)Λp) =⇒q

a 46 | ooredoo 1. Use the truth table to check the following are logical equivalence or not? a. pqpV q b. pAq-(p¬q) c. (p→q) A (p → r) =p→ (q Ar) d. (p r)V (q→r) = (p^q) →r e. p+q= (p→ q) ^ (q → p)