   Chapter 6.3, Problem 1ES ### 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 1-4 find a counterexample to show that the statement is false. Assume all sets are subsets of a universal set U. For all sets A, B, and C, ( A ∪ B ) ∩ C = A ∪ ( B ∩ C ) .

To determine

For each find a counterexample to show that me statement is falsa Assume all sets are subsets of a universal set U.

Exercise

For all sets A,B and C(AB)C=A(BC).

Explanation

Given information:

Let  A,Band C  be any set

Concept used:

:Union of sets:Intersection of sets

: subset of set

Calculation:

Counterexample

Let A={a},B={b,c},C={c,d}

LHS

BC={b,c,d}A(BC)

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