Chapter 3: Q13. (page 151)

Tell whether the given number is a solution of $5 x - 10 > 2 x + 4$ .
-2

Short Answer

Expert verified

No, $x = - 2$ is not a solution.

Step by step solution

Step-1- Solve the inequality

$5 x - 10 > 2 x + 4$

First add 10 and then subtract 2x at both side

$\begin{matrix} 5 x - 10 + 10 - 2 x > 2 x + 4 - 2 x + 10 \\ 3 x > 14 \end{matrix}$

Divide by 3.

$\begin{matrix} x > \frac{14}{3} \\ x > 4.66 \end{matrix}$

Step-2- Graph the inequality

The solution of the inequality is $x > 4.66$ .

That means, all values $x > 4.66$ satisfy the inequality. So, the graph can be given as shown below.

Step-3- Check the solution

To check the solution, substitute $x = - 2$ in the original inequality and observe the result.

$\begin{matrix} 5 \times (- 2) - 10 > 2 \times (- 2) + 4 \\ - 10 - 10 > - 4 + 4 \\ - 20 > 0 \end{matrix}$

The result $- 20 > 0$ is not true. So, $x = - 2$ is not a solution of the inequality.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Tell whether the given number is a solution of $5 x - 10 > 2 x + 4$ .
-2

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

Geometry

Decision Maths

Pure Maths

Calculus

Statistics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Tell whether the given number is a solution of5x-10>2x+4.-2

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

Geometry

Decision Maths

Pure Maths

Calculus

Statistics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Tell whether the given number is a solution of $5 x - 10 > 2 x + 4$ .
-2