Question: 2. For this problem we consider the following statements: A = The integer in is positive. B = The integer in is divisble by 7.

2. For this problem we consider the following statements: A = "The integer in is positive.\" B = "The integer in is divisble by 7.\" P 2 "Vanessa is wearing a raincoat today.\" Q 2 "It is raining today. \" For each given sentence, give a sentence with equivalent meaning, using A, B, P, Q together with the basic constructions: if-then, if and only if, and, or, not. Ex: If it is raining today, then Vanessa will wear a raincoat. Answer: If Q, then P. (a) It only rains when Vanessa wears a raincoat. (b) The integer in has in S 0. (c) Whenever m is divisible by 7, m is also positive. (d) It is necessary that m is positive in order for Vanessa to wear a raincoat. (e) The integer in is divisble by 7 exactly when m is positive. (f) When the sun is shining or when 7 does not divide m, Vanessa is never wearing a raincoat

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