   Chapter 6.3, Problem 48ES ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
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# Refer to the definition of symmetric difference given above. Prove each of 47-52, assuming that A, B, and C are all subsets of a universal set U. A Δ ∅ = A

To determine

To prove:

AΔϕ=A

Explanation

Given information:

A be any sets.

Concept used:

AΔ=(A)(A)

Calculation:

The objective is to prove the following statement.

AΔ=A

The symmetric difference of A and B is defined as,

AΔB=(AB)(BA)

Consider the left hand side part.

AΔ=(A)(A)     By the definition of Δ.=(A)(Ac)  By the set difference law

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