Hi, Everyone I\'m almost finish with this assignment and i need help with these

Question

Hi, Everyone

I'm almost finish with this assignment and i need help with these two questions. I'll appreciate your help. Thanx U.

1. Suppose you wish to prove P Q. The structure of the proof should be (A) Suppose P and deduce Q (B) Suppose and deduce P. (C) Suppose P and deduce Q, and then suppose Q and deduce P (D) Suppose P and deduce Q, and then supposeP and deduce Q 2. Consider the statement There exists an integer a such that a > 10 and a | 100 Suppose you are trying to prove this statement. The structure of the proof should be (A) Suppose a is an integer such that a > 10 and deduce that a | 100. (B) Suppose a is an integer such that a > 10 and a | 100 and deduce a contradiction (C) Display an integer a such that a 100. (D) Display an integer a such that a 10 and a| 100

Explanation / Answer

1.To prove any biconditional consists of two parts

Assume P and deduce Q ,then assume Q and deduce P.So,by this reckoning option (C) is correct.

2. The given statement is an Existential Quantifier. So,we can give an example of an integer a which is larger than 10 and it divides 100.In other words Display an integer 'a' such that a>10 and a|100. So, Option (D) is correct.

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