Implications

Logic Level 3

Which of the following is logically equivalent to

p ⇒ ( q ⇒ p ) ? p \Rightarrow (q \Rightarrow p) ?

p ⇒ ( q ∨ p ) p \Rightarrow (q \vee p) p ⇒ ( q ⟺ p ) p \Rightarrow (q \iff p) p ⇒ ( p ⇒ q ) p \Rightarrow (p \Rightarrow q) p ⇒ ( q ∧ p ) p \Rightarrow (q\wedge p)

Prince Loomba by Prince Loomba , 21, India

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1 solution

Prince Loomba
Jan 19, 2017

Hint: Draw truth table of all

0 Helpful 0 Interesting 0 Brilliant 0 Confused

No need for a truth table. p ⇒ ( q ⇒ p ) p \Rightarrow (q \Rightarrow p) is a tautology and out of the four choices given the only other tautology is p ⇒ ( q ∨ p ) p \Rightarrow (q \vee p)

Rocco Dalto - 4 years, 4 months ago

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