Use a truth table to decide whether the pair of statements is equivalent. p ? q, p ? ~q Construct a truth table for p ? q. p q p ? q T T ? T F ? F T ? F F ? Construct a truth table for p ? ~q. p q p ? ~q T T ? T F ? F T ? F F ? Are the statements equivalent? Yes No
Added by Nicholas W.
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The first statement is "9,p V ~q". We don't know what "9" means, but we can assume it's a constant value that doesn't change. "p V ~q" means "either p is true or q is false". So, the first statement is true if either p is true or q is false, regardless of the Show more…
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