Equivalent Statements have identical truth table

Logic Level 3

Which statement is equivalent to p ⇒ ( q ⇒ p ) ? p \Rightarrow ( q \Rightarrow p)?

p ⇒ ( p ⇔ q ) p \Rightarrow ( p \Leftrightarrow q) p ⇒ ( p ∧ q ) p \Rightarrow ( p \wedge q) p ⇒ ( p ∨ q ) p \Rightarrow (p \vee q) p ⇒ ( p ⇒ q ) p \Rightarrow (p \Rightarrow q)

Sandeep Bhardwaj by Sandeep Bhardwaj , 28, India

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1 solution

Sajitha Nair
Jul 1, 2016

The Question statement is (P implies that (Q implies P )) which means if P happens, then that means, if Q happen then P will happen for sure. From this we can conclude that if P happens Q may happen or may not happen, but P will happen for sure. so either P or Q or both can happen. That means P implies ( P or Q )

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