Chapter 8: Q10. (page 400)

Solve the inequality. Graph the solution.
$- 5 y \leq 150$

Short Answer

Expert verified

The solution for our given inequality would be $y \geq - 30$ and in interval notation $[- 30, \infty)$ .

Step by step solution

Step 1. Given Information.

An equation: $- 5 y \leq 150$

Step 2. Concept used.

To solve an inequality, we use opposite operations as we use to solve an equation. When we divide or multiply both sides of an inequality by any negative number, it reverses the inequality.

Step 3. Calculation.

We will solve our given inequality using opposite operations as shown below:

\begin{matrix} - 5 y \leq 150 (Giveninequality) \\ \frac{- 5 y}{- 5} \geq \frac{150}{- 5} (Dividingbothsidesby - 5 ​) \\ y \geq - 30 \end{matrix}

Therefore, the solution for our given inequality would be all values of ygreater than or equal to $- 30$ . The solution of our given inequality in interval notation would be $[- 30, \infty)$ .

Since $- 30$ is a solution of our given inequality, so we will have a solid dot at $y = - 30$ . Upon graphing solution of our given inequality, we will get:

Step 4. Conclusion.

The solution for our given inequality would be $y \geq - 30$ and in interval notation $[- 30, \infty)$ .

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x	4	2	$- 3$	4	$- 4$
y	0	$- 1$	0	$- 1$	0

Solve the inequality. Graph the solution.
$- 5 y \leq 150$

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Concept used.

Step 3. Calculation.

Step 4. Conclusion.

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Solve the inequality. Graph the solution.-5y≤150

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Concept used.

Step 3. Calculation.

Step 4. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Discrete Mathematics

Mechanics Maths

Logic and Functions

Applied Mathematics

Statistics

Study anywhere. Anytime. Across all devices.

Solve the inequality. Graph the solution.
$- 5 y \leq 150$