Chapter 2: Q. 315 (page 183)

Solve the inequality. Graph the solution on the number line and write the solution in the interval notation
$9 p > 14 p - 18$

Short Answer

Expert verified

The solution graph is $p < \frac{18}{5}$

$(- \infty, \frac{18}{5})$

Step by step solution

Step 1. Given information.

The following inequality is given:

$9 p > 14 p - 18$

Step 2. Solving the inequality.

Subtracting $14 p$ from both sides of the inequality, the following can be obtained:

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

Simplify:

$- 5 p > - 18$

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

$\frac{- 5 p}{- 5} < \frac{- 18}{- 5}$

Solution:

$p < \frac{18}{5}$

Step 3. Graphing the solution on the number line

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

Step 4. Writing the solution in the interval notation

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

$(- \infty, \frac{18}{5})$

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Solve the inequality. Graph the solution on the number line and write the solution in the interval notation
$9 p > 14 p - 18$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Solving the inequality.

Step 3. Graphing the solution on the number line

Step 4. Writing the solution in the interval notation

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Solve the inequality. Graph the solution on the number line and write the solution in the interval notation9p>14p-18

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Solving the inequality.

Step 3. Graphing the solution on the number line

Step 4. Writing the solution in the interval notation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Calculus

Pure Maths

Statistics

Geometry

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Solve the inequality. Graph the solution on the number line and write the solution in the interval notation
$9 p > 14 p - 18$