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−(B−C)=(A−B)−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−(B−C)≠(A−B)−C is false,

Counterexample

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

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Sect-6.1 P-1TY Sect-6.1 P-2TY Sect-6.1 P-3TY Sect-6.1 P-4TY Sect-6.1 P-5TY Sect-6.1 P-6TY Sect-6.1 P-7TY Sect-6.1 P-8TY Sect-6.1 P-9TY Sect-6.1 P-10TY

Sect-6.1 P-11TY Sect-6.1 P-1ES Sect-6.1 P-2ES Sect-6.1 P-3ES Sect-6.1 P-4ES Sect-6.1 P-5ES Sect-6.1 P-6ES Sect-6.1 P-7ES Sect-6.1 P-8ES Sect-6.1 P-9ES Sect-6.1 P-10ES Sect-6.1 P-11ES Sect-6.1 P-12ES Sect-6.1 P-13ES Sect-6.1 P-14ES Sect-6.1 P-15ES Sect-6.1 P-16ES Sect-6.1 P-17ES Sect-6.1 P-18ES Sect-6.1 P-19ES Sect-6.1 P-20ES Sect-6.1 P-21ES Sect-6.1 P-22ES Sect-6.1 P-23ES Sect-6.1 P-24ES Sect-6.1 P-25ES Sect-6.1 P-26ES Sect-6.1 P-27ES Sect-6.1 P-28ES Sect-6.1 P-29ES Sect-6.1 P-30ES Sect-6.1 P-31ES Sect-6.1 P-32ES Sect-6.1 P-33ES Sect-6.1 P-34ES Sect-6.1 P-35ES Sect-6.1 P-36ES Sect-6.1 P-37ES Sect-6.1 P-38ES Sect-6.2 P-1TY Sect-6.2 P-2TY Sect-6.2 P-3TY Sect-6.2 P-4TY Sect-6.2 P-5TY Sect-6.2 P-6TY Sect-6.2 P-1ES Sect-6.2 P-2ES Sect-6.2 P-3ES Sect-6.2 P-4ES Sect-6.2 P-5ES Sect-6.2 P-6ES Sect-6.2 P-7ES Sect-6.2 P-8ES Sect-6.2 P-9ES Sect-6.2 P-10ES Sect-6.2 P-11ES Sect-6.2 P-12ES Sect-6.2 P-13ES Sect-6.2 P-14ES Sect-6.2 P-15ES Sect-6.2 P-16ES Sect-6.2 P-17ES Sect-6.2 P-18ES Sect-6.2 P-19ES Sect-6.2 P-20ES Sect-6.2 P-21ES Sect-6.2 P-22ES Sect-6.2 P-23ES Sect-6.2 P-24ES Sect-6.2 P-25ES Sect-6.2 P-26ES Sect-6.2 P-27ES Sect-6.2 P-28ES Sect-6.2 P-29ES Sect-6.2 P-30ES Sect-6.2 P-31ES Sect-6.2 P-32ES Sect-6.2 P-33ES Sect-6.2 P-34ES Sect-6.2 P-35ES Sect-6.2 P-36ES Sect-6.2 P-37ES Sect-6.2 P-38ES Sect-6.2 P-39ES Sect-6.2 P-40ES Sect-6.2 P-41ES Sect-6.2 P-42ES Sect-6.2 P-43ES Sect-6.2 P-44ES Sect-6.3 P-1TY Sect-6.3 P-2TY Sect-6.3 P-3TY Sect-6.3 P-1ES Sect-6.3 P-2ES Sect-6.3 P-3ES Sect-6.3 P-4ES Sect-6.3 P-5ES Sect-6.3 P-6ES Sect-6.3 P-7ES Sect-6.3 P-8ES Sect-6.3 P-9ES Sect-6.3 P-10ES Sect-6.3 P-11ES Sect-6.3 P-12ES Sect-6.3 P-13ES Sect-6.3 P-14ES Sect-6.3 P-15ES Sect-6.3 P-16ES Sect-6.3 P-17ES Sect-6.3 P-18ES Sect-6.3 P-19ES Sect-6.3 P-20ES Sect-6.3 P-21ES Sect-6.3 P-22ES Sect-6.3 P-23ES Sect-6.3 P-24ES Sect-6.3 P-25ES Sect-6.3 P-26ES Sect-6.3 P-27ES Sect-6.3 P-28ES Sect-6.3 P-29ES Sect-6.3 P-30ES Sect-6.3 P-31ES Sect-6.3 P-32ES Sect-6.3 P-33ES Sect-6.3 P-34ES Sect-6.3 P-35ES Sect-6.3 P-36ES Sect-6.3 P-37ES Sect-6.3 P-38ES Sect-6.3 P-39ES Sect-6.3 P-40ES Sect-6.3 P-41ES Sect-6.3 P-42ES Sect-6.3 P-43ES Sect-6.3 P-44ES Sect-6.3 P-45ES Sect-6.3 P-46ES Sect-6.3 P-47ES Sect-6.3 P-48ES Sect-6.3 P-49ES Sect-6.3 P-50ES Sect-6.3 P-51ES Sect-6.3 P-52ES Sect-6.3 P-53ES Sect-6.3 P-54ES Sect-6.4 P-1TY Sect-6.4 P-2TY Sect-6.4 P-3TY Sect-6.4 P-1ES Sect-6.4 P-2ES Sect-6.4 P-3ES Sect-6.4 P-4ES Sect-6.4 P-5ES Sect-6.4 P-6ES Sect-6.4 P-7ES Sect-6.4 P-8ES Sect-6.4 P-9ES Sect-6.4 P-10ES Sect-6.4 P-11ES Sect-6.4 P-12ES Sect-6.4 P-13ES Sect-6.4 P-14ES Sect-6.4 P-15ES Sect-6.4 P-16ES Sect-6.4 P-17ES Sect-6.4 P-18ES Sect-6.4 P-19ES Sect-6.4 P-20ES Sect-6.4 P-21ES Sect-6.4 P-22ES Sect-6.4 P-23ES Sect-6.4 P-24ES Sect-6.4 P-25ES Sect-6.4 P-26ES Sect-6.4 P-27ES Sect-6.4 P-28ES Sect-6.4 P-29ES

Math
Discrete Mathematics With Applications 5th Edition

Discrete Mathematics With Applicat...

Solutions

Discrete Mathematics With Applicat...

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 .

Still sussing out bartleby?

The Solution to Your Study Problems

Chapter 6 Solutions

MathDiscrete Mathematics With Applications5th Edition

Discrete Mathematics With Applicat...

Solutions

Discrete Mathematics With Applicat...

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 .

Still sussing out bartleby?

The Solution to Your Study Problems

Chapter 6 Solutions

Math
Discrete Mathematics With Applications 5th Edition

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 .