B. Write each statement into its symbolic form.(3 pts each) Let x: PJ is a mathematician y: MJ is a programmer a. PJ is not a mathematician. b. PJ is a mathematician while MJ is a programmer. c. If PJ is a mathematician then MJ is not a programmer. d. PJ is a mathematician or if PJ is a mathematician then MJ is a programmer. e. Either PJ is a mathematician and MJ is a programmer, or neither PJ is a mathematician nor MJ is a programmer. C. Show whether or not p → q ≡ (p ^ q) v (𝒑 ̅ ^ 𝒒̅) (10 pts) D. Let P(x) denote the statement 𝟏 𝒙 𝟐+𝟏 > 1. If its domain are all real numbers, what is the truth value of the following quantified statement? (5 pts each) 1. ∃xP(x) 2. ∀xP(x)
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