On an arbitrary non-empty subset of the set of integers, we define the internal operation * with the prescription a * b = min{a,b}. Which of the following subsets of the set Z contains the neutral element for the operation *? (a) The set of all positive integers. (b) The set of all negative integers. (c) The set of all non-negative integers. (d) The set of all even integers. (e) None of the above.
On an arbitrary non-empty subset of the set of integers, we define the internal operation * with the prescription a * b = min{a,b}. Which of the following subsets of the set Z contains the neutral element for the operation *? (a) The set of all positive integers. (b) The set of all negative integers. (c) The set of all non-negative integers. (d) The set of all even integers. (e) None of the above.
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
Problem 40WE
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On an arbitrary non-empty subset of the set of integers, we define the internal operation * with the prescription a * b = min{a,b}. Which of the following subsets of the set Z contains the neutral element for the operation *?
(a) The set of all positive integers.
(b) The set of all negative integers.
(c) The set of all non-negative integers.
(d) The set of all even integers.
(e) None of the above.
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