Show that (p ∧ q) → (p ∨ q) is a tautology.

Question

Question

How can I prove (p ∧ q) → (p ∨ q) is a tautology.

Answer 1

Similar Homework Help Questions

Prove that (¬q ∨ (¬p → q)) →p is a tautology using propositional equivalence and the...

Prove that (¬q ∨ (¬p → q)) →p is a tautology using propositional equivalence and the laws of logic. Step Number Formula Reason
Prove or disprove (without using a truth table): (p^q) rightarrow (q rightarrow p) is a tautology....

Prove or disprove (without using a truth table): (p^q) rightarrow (q rightarrow p) is a tautology. Prove that the contrapositive holds (without using a truth table), that is that the followi holds: p rightarrow q identicalto q rightarrow p
Prove the following is a tautology (without using a truth table) [(p →q) (q + r)]...

Prove the following is a tautology (without using a truth table) [(p →q) (q + r)] → (p → r)

Show that q → (p ∧ q) ∨ (¬p ∧¬q) →p is a tautology using De-Morgan...

Show that q → (p ∧ q) ∨ (¬p ∧¬q) →p is a tautology using De-Morgan Laws (( with showing the steps )) In (Discrete Structures course)
Please generate a truth table and answer "Is the compound statement a tautology?" (p ↔ q)...

Please generate a truth table and answer "Is the compound statement a tautology?" (p ↔ q) ↔ [ (q → p) ∨ (p → ~ q) ]
If p and q are statement variables. T is a tautology and c a contradiction. Applying...

If p and q are statement variables. T is a tautology and c a contradiction. Applying properties simply statements 1 )~(pvq) 2) ~(~p) 3) P^(~pvq)

Need to prove if this letter statement is a tautology using the tautology test 2. Prove...

Need to prove if this letter statement is a tautology using the tautology test 2. Prove or disprove using the Tautology Test that ((An, B'),-(BAA')) → (AVB) is a tautology. ABCD
Show work in order to receive credit. (P v Q) ^ (~ P л~ Q) is...

Show work in order to receive credit. (P v Q) ^ (~ P л~ Q) is (or is not) a tautology using truth tables 11. Show that
(d) Determine if the compound proposition is a tautology, contradiction or a contingency ( -1 (p...

(d) Determine if the compound proposition is a tautology, contradiction or a contingency ( -1 (p + q) + np. Clearly justify your answer.

14. Verify that the following logical expression is a tautology: P) Λ (pv) →

14. Verify that the following logical expression is a tautology: P) Λ (pv) →