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Translate to an inequality and solve. Then graph the solution on the number line and write the solution in interval notation:

Negative five times r is no more than 95

Short Answer

Expert verified

The solution graph is :r≥-19

[-19,∞)

Step by step solution

01

Step 1. Given information.

The following statement is given:

Negative five times r is no more than 95

02

Step 2. Translate to an inequality and solve.

Since no more than is equivalent to ≤, the inequality will be

-5r≤95

Dividing both sides by -5 (this will reverse the inequality) and simplifying

-5r-5≥95-5r≥-19

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. Write the solution in interval notation.

In interval notation, the solution can be written as[-19,∞)

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