Construct a truth table for each of the following compound statementswhere p, q, r denote primitive statementa) ד(p ۷ דq) → דp

Required informationSkip to questionNOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part.Identify the output of the given truth table of the given compound proposition.p → (¬q ∨ r) p q r ¬q ¬q ∨ rT T T F TT T F F FT F T T TT F F T TF T T F TF T F F FF F T T TF F F T T Multiple Choicep → (¬q ∨ r)TFTTTFTF p → (¬q ∨ r)TFTTTTTT p → (¬q ∨ r)TFFTTTTF p → (¬q ∨ r)TTTTTFFT

Truth Tables for:1. ~ p ∧ q2. ~ p ∧ (q ∨ ~ r)3. (p∨q) ∧ ~ (p∧q)

Assume that p, q and r are propositions with truth values F, T and F respectively. Find the truth value of the following compound proposition.a.T or Fb.None of the other choices is correct.c.Td.F

Construct the truth table for the proposition(p ⇔ q) ⇒ (p ∨ q).

Construct a truth table for the formula .