2. (a) Investigate with a truth table whether (P= (Q V R)) = ((P A-Q) = R) ais tautology.(b) Proof or refutation: – (V xeN 3 yez ((x> y) A (x 2 = y 2 )).(c) Given is the operation D on Z defined by D: (a, b) → - a+b - 1. Determine theneutral element of this operation. Proof or rebuttal: D is associative.(d) Given is the relationship {(x, y) E (N >0× N >0 ): | x - y| 0 x N >0. Wenote this relationship with v. Proof: ~ is an equivalence relationship.

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Description: 2. (a) Investigate with a truth table whether (P= (Q V R)) = ((P A-Q) = R) ais tautology.(b) Proof or refutation: – (V xeN 3 yez ((x> y) A (x 2 = y 2 )).(c) Given is the operation D on Z defined by D: (a, b) → - a+b - 1. Determine theneutral element

By the guidelines I a, doing the first 2 questions. Kindly repost the other questions. Truthtable:

Answered: 2. (a) Investigate with a truth table…

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2. (a) Investigate with a truth table whether (P= (Q V R)) = ((P A-Q) = R) a is tautology. (b) Proof or refutation: – (V xeN 3 yez ((x> y) ^ (x 2 = y 2 ))).

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter2: Parallel Lines

Section2.CT: Test

Problem 3CT: To prove a theorem of the form "If P, then Q" by the indirect method, the first line of the proof...

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