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Q8.

Expert-verifiedFound in: Page 220

Book edition
Common Core Edition

Author(s)
Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

Pages
183 pages

ISBN
9780547587776

**Solve the inequality. Graph your solution. **

** $\frac{x}{-4}\le -6$**

$\mathbf{x}\ge \mathbf{24}$

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

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

$\begin{array}{l}\frac{x}{-4}\le -6\\ \frac{x}{-4}\times -4\ge -6\times -4\text{\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em} [}\because \text{Multiplying -4 on both sides and reverse the inequality symbol]}\\ x\ge 24\text{\hspace{0.33em} \hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em}\hspace{0.33em} [}\because \text{Simplify]}\end{array}$

Using graphing calculator to draw the above inequality,

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

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

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