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Chapter 2: Q26. (page 106)

Solve each equation. Then graph the solution set.

8w+5=21

Short Answer

Expert verified

The equation 8w+5=21has solution set as w=鈭�3.25and w=2and the graph of the solution set is:

Step by step solution

01

Step-1. Define absolute value equation.

For any real numbers a and b, ifa=b and b鈮�0, thena=b or a=鈭�b.

02

Step-2. Formulate case 1 when 8w+5=21.

Simplify the expression for w.

8w+5鈭�5=21鈭�58w=168w8=168w=2

03

Step-3. Formulate case 2 when 8w+5=−21.

Simplify the expression for w.

8w+5鈭�5=鈭�21鈭�58w=鈭�268w8=鈭�268w=鈭�3.25

04

Step-4. Plot the graph of the solution set.

From case 1 and case 2, w=鈭�3.25,2. Plot these values on the number line.

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