Chapter 3: Q. 18 (page 151)

Solve the inequality. Graph your solution.
$19 \geq \frac{x}{90} - 25$

Short Answer

Expert verified

Solution of the inequality is $x \leq 3960$ .

Step by step solution

Step 1. Solve the inequality

$19 \geq \frac{x}{90} - 25$

Add 25 both the sides.

$\begin{matrix} 19 + 25 \geq \frac{x}{90} - 25 + 25 \\ 44 \geq \frac{x}{90} \end{matrix}$

Multiply both sides by 90.

$\begin{matrix} 44 \geq \frac{x}{90} 44 \times 90 \geq \frac{x}{90} \times 90 \\ 3960 \geq x \\ x \leq 3960 \end{matrix}$

Step 2. Graph the inequality

The solution of the inequality is $x \leq 3960$ .

That means, all values $x \leq 3960$ 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, $x \leq 3960$ and substitute in the original inequality and observe the result.

Take $x = 0$ .

Then,

$\begin{matrix} 19 \geq \frac{0}{90} - 25 \\ 19 \geq 0 - 25 \\ 19 \geq - 25 \end{matrix}$

The result $19 \geq - 25$ is true. So, the solution $x \leq 3960$ is correct.

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Solve the inequality. Graph your solution.
$19 \geq \frac{x}{90} - 25$

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 your solution.19≥x90-25

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

Discrete Mathematics

Pure Maths

Theoretical and Mathematical Physics

Logic and Functions

Statistics

Calculus

Study anywhere. Anytime. Across all devices.

Solve the inequality. Graph your solution.
$19 \geq \frac{x}{90} - 25$