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{"ops":[{"attributes":{"italic":true,"bold":true},"insert":"B. Write each statement into its symbolic form.(3 pts each) "},{"insert":"\nLet \nx: PJ is a mathematician \ny: MJ is a programmer\na. PJ is not a mathematician. \nb. PJ is a mathematician while MJ is a programmer. \nc. If PJ is a mathematician then MJ is not a programmer. \nd. PJ is a mathematician or if PJ is a mathematician then MJ is a \nprogrammer. \ne. Either PJ is a mathematician and MJ is a programmer, or neither PJ is \na mathematician nor MJ is a programmer.\u00a0\n\n"},{"attributes":{"bold":true},"insert":"C. Show whether or not p \uf0df\u2192 q "},{"insert":"\u2261"},{"attributes":{"bold":true},"insert":" (p ^ q) v ("},{"insert":"\ud835\udc91\n\u0305 "},{"attributes":{"bold":true},"insert":"^ "},{"insert":"\ud835\udc92\u0305"},{"attributes":{"bold":true},"insert":") (10 pts) "},{"insert":"\n"},{"attributes":{"italic":true,"bold":true},"insert":"D. Let P(x) denote the statement "},{"insert":"\ud835\udfcf \n\ud835\udc99\n\ud835\udfd0+\ud835\udfcf \n"},{"attributes":{"italic":true,"bold":true},"insert":"> 1. If its domain are all real numbers, "},{"insert":"\n"},{"attributes":{"italic":true,"bold":true},"insert":"what is the truth value of the following quantified statement? (5 pts each) "},{"insert":"\n1. \u2203xP(x) \n2. \u2200xP(x)\n\n"}]}

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