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Assume p is true, q is true, and r is false. What is the truth value for the compound statement?

(p^q) ^r
True
False

1 Answer

4 votes

Answer:

The compound statement is a conjunction (AND) of two expressions, (p^q) and r. The truth value of the conjunction is true only if both expressions are true. In this case, since p is true, q is true, and r is false, the expression (p^q) is true (since both p and q are true), but the conjunction of (p^q) and r is false, because one of the expressions in the conjunction is false. Therefore, the truth value of the compound statement is False.

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User Milford
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