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Chapter 2: Q25. (page 106)

Solve each equation. Then graph the solution set.

4t鈭�8=20

Short Answer

Expert verified

The equation 4t鈭�8=20has solution set as t=7and t=鈭�3and 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 4t−8=20.

Simplify the expression for t.

4t鈭�8+8=20+84t=284t4=284t=7

03

Step-3. Formulate case 2 when 4t−8=−20.

Simplify the expression for t.

4t鈭�8+8=鈭�20+84t=鈭�124t4=鈭�124t=鈭�3

04

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

From case 1 and case 2, t=7,鈭�3. Plot these values on the number line.

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