Chapter 3: Q. 5 (page 151)

Solve the inequality. Graph and check your solution.
$\frac{x}{- 2} + 6 < - 14$

Short Answer

Expert verified

Solution of the inequality is $x > 40$ .

Step by step solution

Step-1- Solve the inequality

$\frac{x}{- 2} + 6 < - 14$

Subtract 6 from both the sides.

$\begin{matrix} \frac{x}{- 2} + 6 - 6 < - 14 - 6 \\ \frac{x}{- 2} < - 20 \end{matrix}$

Multiply both sides by -2.

$\begin{matrix} \frac{x}{- 2} (- 2) < - 20 (- 2) \\ x > 40 \end{matrix}$

Step-2- Graph the inequality

The solution of the inequality is $x > 40$ .

That means, all values $x > 40$ satisfy the inequality. So, the graph can be given as shown below.

Step-3- Check the solution

To check the solution, take any random number, $x > 40$ and substitute in the original inequality and observe the result.

Take $x = 42$ .

Then,

$\begin{matrix} \frac{42}{- 2} + 6 < - 14 \\ - 21 + 6 < - 14 \\ - 15 < - 14 \end{matrix}$

The result $- 15 < - 14$ is true. So, the solution $x > 40$ is correct.

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Solve the inequality. Graph and check your solution.
$\frac{x}{- 2} + 6 < - 14$

Short Answer

Step by step solution

Step-1- Solve the inequality

Step-2- Graph the inequality

Step-3- Check the solution

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Solve the inequality. Graph and check your solution.x-2+6<-14

Short Answer

Step by step solution

Step-1- Solve the inequality

Step-2- Graph the inequality

Step-3- Check the solution

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Theoretical and Mathematical Physics

Mechanics Maths

Probability and Statistics

Pure Maths

Statistics

Study anywhere. Anytime. Across all devices.

Solve the inequality. Graph and check your solution.
$\frac{x}{- 2} + 6 < - 14$