Chapter 2: Q. 328 (page 184)

Solve the inequality, graph the solution on the number line and write the solution in interval notation.
$15 k \leq - 40$

Short Answer

Expert verified

The solution graph is $k \leq - \frac{8}{3}$

$(- \infty, - \frac{8}{3}]$

Step by step solution

Step 1. Given information.

The following inequality is given

$15 k \leq - 40$

Step 2. Solving the inequality.

Diving both sides by 15 (since 15 is a positive number, the inequality is not reversed)

$\frac{15 k}{15} \leq \frac{- 40}{15}$

Simplifying

$k \leq - \frac{8}{3}$

Step 3. Graph the solution on the number line

The graph of the solution on the number line is presented below

Step 4. Writing the solution in interval notation.

In interval notation, the solution can be expressed as

$(- \infty, - \frac{8}{3}]$

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Solve the inequality, graph the solution on the number line and write the solution in interval notation.
$15 k \leq - 40$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Solving the inequality.

Step 3. Graph the solution on the number line

Step 4. Writing the solution in interval notation.

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Solve the inequality, graph the solution on the number line and write the solution in interval notation.15k≤-40

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Solving the inequality.

Step 3. Graph the solution on the number line

Step 4. Writing the solution in interval notation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Calculus

Geometry

Logic and Functions

Theoretical and Mathematical Physics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Solve the inequality, graph the solution on the number line and write the solution in interval notation.
$15 k \leq - 40$