Let p , q , r be three logical statements. Consider the compound statements S 1 : (( ∼ p ) ∨ q ) ∨ (( ∼ p ) ∨ r ) and S 2 : p → ( q ∨ r ) Then, which of the following is NOT true?

Question

Let p , q , r be three logical statements. Consider the compound statements S 1 ​ : (( ∼ p ) ∨ q ) ∨ (( ∼ p ) ∨ r ) and S 2 ​ : p → ( q ∨ r ) Then, which of the following is NOT true?

TestHub · Accepted Answer

Given statement S 1 ​ : ( ∼ p ∨ q ) ∨ ( ∼ p ∨ r ) ≡∼ p ∨ ( q ∨ r ) S 2 ​ : p → ( q ∨ r ) ≡∼ p ∨ ( q ∨ r ) → By conditional law S 1 ​ ≡ S 2 ​

Mathematics - Mathematical Reasoning Question with Solution | TestHub

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