create a truth table for a. (p^q) V~q b. r =>(p V q)
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- Make a truth table and determine the truth value of [p∧(r→q)]→(q∨∼r) given that p is true, q is false, and r is true.Show that (p ∧ q) → r and (p → r) ∧ (q → r) are not logically equivalent, without using truth tables.Without using truth tables, show that ¬p ® (q ® r) and q ® (p Ú r) are logically equivalent.
- Are "p ∨ q ∧ r" and "(p ∨ q)∧(p ∨ r)" logically equivalent? Show your truth tableUsing a truth table, show that P ↔ Q is logically equivalent to (P ∨ Q) → (P ∧ Q).Part 1: Truth Tables (1a) Provide complete truth tables for each of the following 1. ¬ (P ∨ Q) ∨ (P ∧ ¬Q) 2. (P ↔ ~Q) ∨ (P ∧ ~Q) 3. ¬¬(¬P ∧ ¬Q) 4. [(P ∧ Q) → R] → ¬(P ∨ Q) 5. [(P ∧ Q) ∨ R] ↔ [(P ∨ R) ∧ (Q ∨ R)] Can you please solve this Thank you
