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Chapter 2: Q. 328 (page 184)

Solve the inequality, graph the solution on the number line and write the solution in interval notation.

15k鈮�-40

Short Answer

Expert verified

The solution graph isk鈮�-83

(-鈭�,-83]

Step by step solution

01

Step 1. Given information.

The following inequality is given

15k鈮�-40

02

Step 2. Solving the inequality.

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

15k15鈮�-4015

Simplifying

k鈮�-83

03

Step 3. Graph the solution on the number line

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

04

Step 4. Writing the solution in interval notation.

In interval notation, the solution can be expressed as

(-鈭�,-83]

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