Prove that by laws of set, (A – B) – (B - C) = A – B2.3. (a) Simplify by using laws of logic (p → q) V¬(a ^¬p)(b) Also check your answer by drawing truth table for (a)Find the relation R on the set A = { 3,4,1) such that R = {(x,y)/ x + y < 7} and show the4.relation R using graph and matrix representation. Also check is R reflexive, symmetric andtransitive?

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Answered: 2. Prove that by laws of set, (A - B)-…

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2. Prove that by laws of set, (A - B)- (B - C) = A -B

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.7: Relations

Problem 3E: a. Let R be the equivalence relation defined on Z in Example 2, and write out the elements of the...

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Prove that by laws of set, (A – B) – (B - C) = A – B
2.
3. (a) Simplify by using laws of logic (p → q) V¬(a ^¬p)
(b) Also check your answer by drawing truth table for (a)
Find the relation R on the set A = { 3,4,1) such that R = {(x,y)/ x + y < 7} and show the
4.
relation R using graph and matrix representation. Also check is R reflexive, symmetric and
transitive?

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