Chapter 5: Q8. (page 220)

Solve the inequality. Graph your solution.
$\frac{x}{- 4} \leq - 6$

Short Answer

Expert verified

x \geq 24

Step by step solution

Step 1. Given information

Inequality: $\frac{x}{- 4} \leq - 6$

Step 2. Calculation

Consider given inequality $\frac{x}{- 4} \leq - 6$ ,

$\begin{array}{l} \frac{x}{- 4} \leq - 6 \\ \frac{x}{- 4} \times - 4 \geq - 6 \times - 4 [∵ Multiplying-4onbothsidesandreversetheinequalitysymbol] \\ x \geq 24 [∵ Simplify] \end{array}$

Step 3. Graph

Using graphing calculator to draw the above inequality,

Step 4. Interpretation

The above graph represents the inequality $x \geq 24$ .

Therefore, $x \geq 24$ is the required solution.

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Solve the inequality. Graph your solution.
$\frac{x}{- 4} \leq - 6$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

Step 3. Graph

Step 4. Interpretation

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Solve the inequality. Graph your solution.x-4≤-6

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

Step 3. Graph

Step 4. Interpretation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Geometry

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Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Solve the inequality. Graph your solution.
$\frac{x}{- 4} \leq - 6$