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Chapter 2: Q29. (page 106)

Solve each equation. Then graph the solution set.

鈭�2y+6=6

Short Answer

Expert verified

The equation 鈭�2y+6=6has solution set as y=0and y=6and 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, then a=bor a=鈭�b.

02

Step-2. Formulate case 1 when −2y+6=6.

Simplify the expression for y.

鈭�2y+6鈭�6=6鈭�6鈭�2y=0鈭�2y鈭�2=0鈭�2y=0

03

Step-3. Formulate case 2 when −2y+6=−6.

Simplify the expression for y.

鈭�2y+6鈭�6=鈭�6鈭�6鈭�2y=鈭�12鈭�2y鈭�2=鈭�12鈭�2y=6

04

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

From case 1 and case 2, y=0,鈥夆赌夆赌�6. Plot these values on the number line.

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