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Chapter 1: Q49. (page 50)

Solve each inequality. Graph the solution set on a number line.

2y-9鈮�27

Short Answer

Expert verified

Solution set of inequality is y|-9鈮�y鈮�18.

Solution set on number line is

Step by step solution

01

- Write properties of inequality.

Properties of inequalities are written in following table:

02

- Solve 2y-9≤27.

2y-9鈮�27 is equivalent to 2y-9鈮�27 or 2y-9鈮�-27.

Consider, 2y-9鈮�27. Add 9 on each part then divide each part by 2 and simplify.

2y鈭�9+9鈮�27+92y2鈮�362y鈮�18

03

– Description of step.

Consider, 2y-9鈮�-27. Add 9 on each part then divide each part by 2 and simplify.

2y鈭�9+9鈮�鈭�27+92y2鈮�鈭�182y鈮�鈭�9

Thus, solution is y鈮�18or y鈮�-9.

04

– Graph the solution set.

Assolution set of the inequality is all real numbers greater than or equal to -9 or less than or equal to 18.

The solution set is, y|-9鈮�y鈮�18.

Closed circles on -9and 18 shows these points are included in the solution set.

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