   Chapter 6.3, Problem 5ES ### 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
1 views

# For each of 5—21 prove each statement that is true and find a counterexample for each statement that is false. Assume all sets are subsets of a universal set ∪ . 5. For all sets A, B, and C, A − ( B − C ) = ( A − B ) − C .

To determine

To Prove:

For each prove each statement that is true and find a counterexample for each statement that is false. Assume all sets are subsets of a universal set U.

A,B and C,A(BC)=(AB)C

Explanation

Given information:

Let  A,B and C  be any set

Concept used:

:Union of sets:Intersection of sets

: subset of set

Calculation:

A,B and C Are sets, we need to show that A(BC)(AB)C is false,

Counterexample

Consider A={1,2,3},B={2,3,4},C={3,4,5}

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