Chapter 1: Q29. (page 44)

Solve each inequality. Graph the solution set on number line.
$- 11 < - 4 x + 5 < 13$ $- 11 < - 4 x + 5 < 13$

Short Answer

Expert verified

Solution of inequality is $4 > x > - 2$

Solution set on number line is

Step by step solution

- Write properties of inequality

Properties of inequalities are written in following table:

- Simplify -11<-4x+5<13

To simplify given inequality, use subtraction and division property of inequalities. Subtract by same number does not change the sign of inequality. Also divide by same negative number reverse the sign of inequality as shown below

$\begin{matrix} - 11 - 5 < - 4 x + 5 - 5 < 13 - 5 \\ - 16 < - 4 x < 8 \\ \frac{- 16}{- 4} > \frac{- 4 x}{- 4} > \frac{8}{- 4} \\ 4 > x > - 2 \end{matrix}$

- Graph the solution set

Assolution set of the inequality is all real numbers greater than -2 and less than 4

Number line starts from -2 to 4

Open circle on -2 and 4 shows these points are not included in the solution set

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Solve each inequality. Graph the solution set on number line.
$- 11 < - 4 x + 5 < 13$ $- 11 < - 4 x + 5 < 13$

Short Answer

Step by step solution

- Write properties of inequality

- Simplify -11<-4x+5<13

- Graph the solution set

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Solve each inequality. Graph the solution set on number line.-11<-4x+5<13-11<-4x+5<13

Short Answer

Step by step solution

- Write properties of inequality

- Simplify -11<-4x+5<13

- Graph the solution set

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Theoretical and Mathematical Physics

Discrete Mathematics

Mechanics Maths

Pure Maths

Statistics

Study anywhere. Anytime. Across all devices.

Solve each inequality. Graph the solution set on number line.
$- 11 < - 4 x + 5 < 13$ $- 11 < - 4 x + 5 < 13$