Algebra: Structure And Method, Book 1

(REV)00 Edition

ISBN: 9780395977224

Author: Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher: McDougal Littell

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Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

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Question

Chapter 1, Problem 8CT

To determine

The solution of the equation x⋅x=0 over the domain {0,1,2,3,4,5,6} .

Expert Solution & Answer

Answer to Problem 8CT

{0,1}

Explanation of Solution

Given information:

The given equation is x⋅x=0 .

The given domain is {0,1,2,3,4,5,6} .

Calculation:

Substitute the value of x=0 in the given equation.

0⋅0=00=0

Substitute the value of x=1 in the given equation.

1⋅1=11=1

Substitute the value of x=2 in the given equation.

2⋅2=24≠2

Substitute the value of x=3 in the given equation.

3⋅3=39≠3

Substitute the value of x=4 in the given equation.

4⋅4=416=4

Substitute the value of x=5 in the given equation.

5⋅5=525≠5

Substitute the value of x=6 in the given equation.

6⋅6=636≠6

So, the solution set over the domain is {0,1} .

Chapter 1, Problem 7CT

Chapter 1, Problem 9CT

Chapter 1 Solutions

Algebra: Structure And Method, Book 1

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