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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?

1. If S 2 is True, then S 1 is True
2. If S 2 is False, then S 1 is False
3. If S 2 is False, then S 1 is True
4. If S 1 is False, then S 2 is False

Correct answer: If S 2 is False, then S 1 is True

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