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In the following exercises,, solve each inequality, graph the solution on the number line, and write the solution in interval notation.

8k≥5k−120.

Short Answer

Expert verified

The solution for the given inequality is,k≥-40.

A graph for the solution on the number line is,

From the obtained number line, the obtained interval notation is,[-40,∞).

Step by step solution

01

Step 1. Given information

8k≥5k−120.

02

Step 2. First solve the given inequality.

Subtract 5kon both the sides of the equation to collect the variables on the left side and then simplify it.

role="math" localid="1653640431678" 8k-5k≥5k-5k-1203k≥-120k≥-1203k≥-40

03

Step 3. Now graph the solution on the number line.

Write the solution in interval notation.

From the number line, the obtained interval notation is,[-40,∞).

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