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Chapter 2: Q42. (page 106)

Solve each equation. Then graph the solution set.

4p+12=14

Short Answer

Expert verified

The equation 4p+12=14has solution set as p=2,鈥夆赌�鈭�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 p=p.

Simplify the expression for p.

4p+12鈭�12=14鈭�124p脳p=2脳p4=2p42=2p2p=2

03

Step-3. Formulate case 2 when p=−p.

Simplify the expression for p.

4鈭�p+12鈭�12=14鈭�124鈭�p脳p=2脳p鈭�4=2p鈭�42=2p2p=鈭�2

04

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

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

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