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.
$2 d + 15 \geq 3$

Short Answer

Expert verified

Solution set of inequality is $[- 6, + \infty)$ .

Solution set on number line is

Step by step solution

- Write properties of inequality.

Properties of inequalities are written in following table:

- 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.

$\begin{array}{l} 2 d + 15 - 15 \geq 3 - 15 \\ \frac{2 d}{2} \geq - \frac{12}{2} \\ d \geq - 6 \end{array}$

Thus, solution is $d \geq - 6$ .

– 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.

$[- 6, + \infty)$

– Graph the solution set.

Number line starts from $- 6$ to $\infty$ .

Dot on $- 6$ shows this point is included in the solution set

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Solve each inequality. Describe the solution set using set builder or interval notation. Then graph the solution set on a number line.
$2 d + 15 \geq 3$

Short Answer

Step by step solution

- Write properties of inequality.

- Solve 2d+15≥3.

– Describe solution set in interval notation.

– Graph the solution set.

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Solve each inequality. Describe the solution set using set builder or interval notation. Then graph the solution set on a number line.2d+15≥3

Short Answer

Step by step solution

- Write properties of inequality.

- Solve 2d+15≥3.

– Describe solution set in interval notation.

– Graph the solution set.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Decision Maths

Probability and Statistics

Calculus

Theoretical and Mathematical Physics

Statistics

Study anywhere. Anytime. Across all devices.

Solve each inequality. Describe the solution set using set builder or interval notation. Then graph the solution set on a number line.
$2 d + 15 \geq 3$