Chapter 3: Q .21CR (page 158)

Solve the inequality. Graph your solution.
$- 2 > \frac{r}{- 6}$

Short Answer

Expert verified

The solution for the inequality is $r < 12$ .

Step by step solution

Step 1. Apply the concept of Linear inequalities

In this type of inequality, Simply use the property of addition or subtraction of suitable number on both Left Hand Side & Right Hand Side to maintain the inequality and also the variable & numbers should be at the different sides in the equation.

Step 2. Find the value of r by solving the inequality

Since, the equality is $- 2 > \frac{r}{- 6}$ .

Here, to simplify this inequality, multiply $- 6$ to both side of the equation

$\begin{array}{l} - 2 > \frac{r}{- 6} \\ - 2 \times - 6 > \frac{r}{- 6} \times - 6 \\ 12 > r \\ r < 12 \end{array}$

Graphical Interpretation

Following is the graph of the expression $r < 12$ to get the proper graphical representation to know the points.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Solve the inequality. Graph your solution.
$- 2 > \frac{r}{- 6}$

Short Answer

Step by step solution

Step 1. Apply the concept of Linear inequalities

Step 2. Find the value of r by solving the inequality

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Mechanics Maths

Discrete Mathematics

Pure Maths

Decision Maths

Logic and Functions

Study anywhere. Anytime. Across all devices.

Solve the inequality. Graph your solution.-2>r-6

Short Answer

Step by step solution

Step 1. Apply the concept of Linear inequalities

Step 2. Find the value of r by solving the inequality

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Mechanics Maths

Discrete Mathematics

Pure Maths

Decision Maths

Logic and Functions

Study anywhere. Anytime. Across all devices.

Solve the inequality. Graph your solution.
$- 2 > \frac{r}{- 6}$