Determine whether the following generalizations are true or false. 1. If x and y are both elements of W, then their sum x +y is also an element of W. 2.if x is an element within W, then (0 + x) =(x+0)=x 3. If x, y and z are all elements of W, then x+(y+z)=(x+y)+z 4. For every whole number x, there exists another whole number whose number x to the first power such that x to the first power + x = 0
Determine whether the following generalizations are true or false. 1. If x and y are both elements of W, then their sum x +y is also an element of W. 2.if x is an element within W, then (0 + x) =(x+0)=x 3. If x, y and z are all elements of W, then x+(y+z)=(x+y)+z 4. For every whole number x, there exists another whole number whose number x to the first power such that x to the first power + x = 0
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 40E
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Determine whether the following generalizations are true or false.
1. If x and y are both elements of W, then their sum x +y is also an element of W.
2.if x is an element within W, then (0 + x) =(x+0)=x
3. If x, y and z are all elements of W, then x+(y+z)=(x+y)+z
4. For every whole number x, there exists another whole number whose number x to the first power such that x to the first power + x = 0
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