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Chapter 2: Q40. (page 106)

Solve each equation. Then graph the solution set.

2h鈭�3=8

Short Answer

Expert verified

The equation 2h鈭�3=8has solution set ash=5.5,鈥夆赌�鈭�5.5 and 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, if a=band b鈮�0, thena=bor a=鈭�b.

02

Step-2. Formulate case 1 when 2h−3=8.

Simplify the expression for h.

2h鈭�3+3=8+32h=112h2=112h=5.5

03

Step-3. Formulate case 2 when 2−h−3=8.

Simplify the expression for h.

2鈭�h鈭�3+3=8+3鈭�2h=11鈭�2h鈭�2=11鈭�2h=鈭�5.5

04

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

From case 1 and case 2, h=5.5,鈥夆赌�鈭�5.5. Plot these values on the number line.

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