Book edition Common Core Edition

Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

Pages 183 pages

ISBN 9780547587776

Answers without the blur.

Just sign up for free and you're in.

Short Answer

Solve the inequality. Graph the solution.
$m - 6 > 21$

The solution for our given inequality would be $m > 27$ and in interval notation $(27, \infty)$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given Information.

An equation: $m - 6 > 21$

Step 2. Concept used.

To solve an inequality, we use opposite operations as we use to solve an equation. When we divide or multiply both sides of an inequality by any negative number, it reverses the inequality.

Step 3. Calculation.

We will solve our given inequality using opposite operations as shown below:

$\begin{matrix} m - 6 > 21 (Given inequality) \\ m - 6 + 6 > 21 + 6 (Adding 6 on both sides) \\ m > 27 \end{matrix}$

Therefore, the solution for our given inequality would be all values of m greater than 27. The solution of our given inequality in interval notation would be $(27, \infty)$ .

Since 27 is not a solution of our given inequality, so we will have an open dot at $m = 27$ . Upon graphing solution of our given inequality, we will get:

Step 4. Conclusion.

The solution for our given inequality would be $m > 27$ and in interval notation $(27, \infty)$ .

Find Study Materials for

Create Study Materials

Select your language

Pre-algebra

Answers without the blur.

Short Answer

Solve the inequality. Graph the solution.
$m - 6 > 21$

Step by Step Solution

Step 1. Given Information.

Step 2. Concept used.

Step 3. Calculation.

Step 4. Conclusion.

Most popular questions for Math Textbooks

Want to see more solutions like these?

Recommended explanations on Math Textbooks

Select your language

Pre-algebra

Answers without the blur.

Short Answer

Solve the inequality. Graph the solution. m-6>21

Step by Step Solution

Step 1. Given Information.

Step 2. Concept used.

Step 3. Calculation.

Step 4. Conclusion.

Most popular questions for Math Textbooks

Want to see more solutions like these?

Recommended explanations on Math Textbooks

Decision Maths

Calculus

Probability and Statistics

Statistics

Mechanics Maths

Geometry

Pure Maths

Solve the inequality. Graph the solution.
$m - 6 > 21$