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Which of the following statements is accurate?

1. p → q is equivalent to ∼p ∨ q in logic.
2. If p, q, and r have truth values T, F, and T respectively, then (p ∨ q) ∧ (q ∨ r) evaluates to T.
3. The expression ∼(p ∨ q ∨ r) is equal to ∼p ∧ ∼q ∧ ∼r.
4. The logical value of p ∧ ∼(p ∨ q) is always T.

Correct answer: p → q is equivalent to ∼p ∨ q in logic.

Solution

The statement p → q is equivalent to ∼p ∨ q in logic because the implication p → q is true if p is false or q is true, which is the same as ∼p ∨ q.

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