   Chapter 6.3, Problem 16ES ### 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 I true and find a counterexample for each statement that is false. Assume all sets are subsets of a universal set U.For all sets A,B, and B, if A ∩ C = ∅ then A × B = ∅ .

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.

For all sets A and B if AB=ϕ then A×B=ϕ

Explanation

Given information:

Let  A and B  be any set

Concept used:

:Union of sets:Intersection of sets

: subset of set

Calculation:

A and B Are sets AB=ϕ , then A×B=ϕ is false.

Ex. A={1,2,3} B={a

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