Chapter 3: Q12. (page 151)

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

Short Answer

Expert verified

No, $x = 4$ 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 $x = 4$ in the original inequality and observe the result.

$\begin{matrix} 5 \times 4 - 10 > 2 \times 4 + 4 \\ 20 - 10 > 8 + 4 \\ 10 > 12 \end{matrix}$

The result $10 > 12$ is not true. So, $x = 4$ is not a solution of the inequality.

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

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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Tell whether the given number is a solution of5x-10>2x+4.4

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

Probability and Statistics

Statistics

Calculus

Discrete Mathematics

Applied Mathematics

Geometry

Study anywhere. Anytime. Across all devices.

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