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Chapter 1: Q44. (page 50)

Solve each inequality. Describe the solution set using set builder or interval notation. Then graph the solution set on a number line.

2-3z鈮�78-2z+12

Short Answer

Expert verified

Solution set of inequality is [6,+鈭�).

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 2−3z≥78−2z+12.

To solve given inequality, use subtraction and division properties of inequality. Expand the right-hand side. Subtract 2 from each side then add14zon each side and divide each side by 11 and simplify.

2鈭�3z鈮�56鈭�14z+122鈭�3z鈭�2鈮�68鈭�14z鈭�2鈭�3z+14z鈮�66鈭�14z+14z11z11鈮�6611z鈮�6

Thus, solution is z鈮�6.

03

– Describe solution set in interval notation.

Assolution set of the inequality is all real numbers greater than or equal to 6.

Write the solution set in interval notation.

[6,+鈭�)

04

– Graph the solution set.

Closed circle on 6 shows this point is included in the solution set.

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Most popular questions from this chapter

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Use the following information.

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