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# POTD3 - and 4th columns in the second table then the ﬁrst...

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MATH 135 Fall 2005 Problem of the Day #3 Is the statement x y, x 2 > y 2 TRUE or FALSE? (The universe of dis- course is the real numbers.) Determine its negation. (Note: This last part will have to wait until after the beginning of next Monday’s lecture.) Solution to POTD # 2 P Q P OR Q P AND Q NOT( P OR Q ) NOT( P AND Q ) T T T T F F T F T F F T F T T F F T F F F F T T NOT P NOT Q (NOT P ) AND (NOT Q ) (NOT P ) OR (NOT Q ) F F F F F T F T T F F T T T T T Since the 3rd and 4th columns in the first table are the same as the 3rd
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Unformatted text preview: and 4th columns in the second table, then the ﬁrst two pairs of statements are equivalent. P Q P = ⇒ Q NOT P NOT Q (NOT Q ) = ⇒ (NOT P ) T T T F F T T F F F T F F T T T F T F F T T T T Since the 3rd and 6th columns are equal, the third pair of statements are equivalent....
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