Which one of the following statements about the propositions p and q is correct? (1) p AND q is true when at least one of p, q is true. (2) p - q is true when p is true and q is false. (3) p q is true only when both p and q are true. (4) NOT(p OR q) is true only when both p and q are

Question

Which one of the following statements about the propositions p and q is correct? (1) p AND q is true when at least one of p, q is true. (2) p -> q is true when p is true and q is false. (3) p <-> q is true only when both p and q are true. (4) NOT(p OR q) is true only when both p and q are false.

Accepted Answer

(4). Statement (4) is the correct truth-table fact: NOT(p OR q) is true only when both p and q are false. The others misstate AND, implication, and biconditional.

Which one of the following statements about the propositions p and q is correct? (1) p AND q is true when at least one of p, q is true. (2) p -> q is true when p is true and q is false. (3) p <-> q is true only when both p and q are true. (4) NOT(p OR q) is true only when both p and q are false.

Solution

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