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Chapter 2: Q. 315 (page 183)

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

9p>14p-18

Short Answer

Expert verified

The solution graph isp<185

-鈭�,185

Step by step solution

01

Step 1. Given information.

The following inequality is given:

9p>14p-18

02

Step 2. Solving the inequality.

Subtracting 14pfrom both sides of the inequality, the following can be obtained:

9p-14p>14p-18-14p

Simplify:

-5p>-18

Diving both sides by -5(this will reverse the inequality as -5 is negative):

-5p-5<-18-5

Solution:

p<185

03

Step 3. Graphing the solution on the number line

The graph of the inequality on the number line is presented below:

04

Step 4. Writing the solution in the interval notation

The solution of the inequality in the interval notation can be expressed as

-鈭�,185

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