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Chapter 1: Q2. (page 30)

Write an absolute value equation for each solution set graphed below.

Short Answer

Expert verified

Absolute value equations are

a. x=4and b. x-6=2

Step by step solution

01

a.Step 1 - Define absolute value

Absolute value of a number is its distance from 0 on the number line.

02

- Observation from figure

Distance of solution set is 4 units from origin.

03

- Write absolute value equation

Let x be the distance from origin so required equation is x=-4orx=4which in absolute value form will be written as x=4

04

b.Step 1 - Define absolute value

Absolute value of a number is its distance from 0 on the number line.

05

- Observation from figure

Distance of solution set is 2 units from a point six.

06

- Write absolute value equation

Let x be the distance from point 6. To make required equation subtract 6 from x to get x-6=-2orx-6=2which in absolute value form will be written as x-6=2

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