Wrong Equivalences x 1 2 P(x) T F Q(x)
{"Image DocumentName": "Wrong Equivalences x 1 2 P(x) T F Q(x)", "Image ImageDescription": "\uf024x ( P(x) \uf0d9 Q(x) ) \uf0ba \uf024x P(x) \uf0d9 \uf024x Q(x) Read as there exists an x for which both P(x) and Q(x) are true is equivalent to there exists an x for which P(x) is true and there exists an x for which Q(x) is true . One can construct an example that makes the above equivalence false. Consider the following. \uf024x ( P(x) \uf0d9 Q(x) ) = F but. \uf024x P(x) \uf0d9 \uf024x Q(x) = T, since P(1) is true and Q(2) is true. x P(x) T. F. Q(x)", "Image XResolution": "37", "Image YResolution": "37", "Image ResolutionUnit": "Pixels/Centimeter", "Image Software": "SlidePlayer", "Image YCbCrPositioning": "Centered"}