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Chapter 1: Q61. (page 46)

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

2d+15鈮�3

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 2d+15≥3.

To solve given inequality, use subtraction and division properties of inequality. Subtract 15 from each side and do not change the sign of inequality. Then divide by 2 on each side and simplify.

2d+15鈭�15鈮�3鈭�152d2鈮�鈭�122d鈮�鈭�6

Thus, solution is d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.

Number line starts from 鈭�6to 鈭�.

Dot on鈭�6 shows this point is included in the solution set

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