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1. Suppose you wish to prove P Q. The structure of the proof should be (A) Suppo

ID: 3145228 • Letter: 1

Question

1. Suppose you wish to prove P Q. The structure of the proof should be (A) Suppose P and deduce Q (B) Suppose Q 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. 3. Consider the statement Suppose you are trying to prove this statement. The structure of the proof should be (A) Suppose E Z, y E Z and deduce that 2+y (B) Suppose z E Z,y E Z and 2 +y31, and deduce a contradiction (C) Display two real numbers z, y such that z2 +y31 (D) Display two integers z, y such thaty 1

Explanation / Answer

1) answer is option - C

2) answer is option - D

3) answer is option - A

This way you can prove any of the three answers