1. Let a and b be real numbers. Define an operation * by a*b=a. a. Is the set of real numbers closed under the operation *? Why or why not? b. Is the operation * commutative on the set of real numbers? Why or why not? c.  Is the operation * associative on the set of real numbers? Why or why not?

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.1: Basic Assumptions
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1. Let a and b be real numbers. Define an operation * by a*b=a.

a. Is the set of real numbers closed under the operation *? Why or why not?

b. Is the operation * commutative on the set of real numbers? Why or why not?

c.  Is the operation * associative on the set of real numbers? Why or why not?

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