Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.1: Postulates For The Integers (optional)
Problem 31E: 31. Prove that if is positive and is negative, then is negative.
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![Prove:
1. If A and B are sets, show that AB if and only if AUB=B.
2. If A and B are sets, show that AB if and only if AB=A.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3fb2d316-2402-4377-835d-bb3f3e603de5%2F12e54b0a-3acf-4c77-9621-523412f894a3%2F697dged_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Prove:
1. If A and B are sets, show that AB if and only if AUB=B.
2. If A and B are sets, show that AB if and only if AB=A.
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