Q22. 22: Solve each system of inequal... [FREE SOLUTION]

Chapter 3: Q22. (page 147)

22: Solve each system of inequalities by graphing.
$\begin{matrix} |y| > 3 \\ x 鈮� 1 \end{matrix}$

Short Answer

Expert verified

The solution is $|y| > 3$ and $x 鈮� 1$ .

Step by step solution

Step-1 – Concept of solution of linear inequalities

The solution of linear inequalities can be obtained by changing the inequalities into equations and solving the linear equations to obtain a graph. Then the common shaded region is a solution of the inequalities.

Step-2 – Concept of shading the region of the inequalities

The shaded region obtained by choosing a point, if the point satisfies the inequality the region is along the point, if not satisfies the inequalities, then the shaded region is opposite to the point.

Step-3 – Evaluation of solution

The two inequalities are $|y| > 3$ and $x 鈮� 1$ .

The linear inequations of the respective inequalities are $|y| = 3$ and $x = 1$

$y = 3$ or $y = - 3$ , $x = 1$ .

Step-4 – Shading the region

We choose $(0, 0)$ then the point $(0, 0)$ satisfies the inequality $x 鈮� 1$ but it does not satisfy the inequalities $|y| > 3$ .

Step-5 – Plotting the graph

So, the graph of the inequality is

The common region is $|y| > 3$ and $x 鈮� 1$

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.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

22: Solve each system of inequalities by graphing.
$\begin{matrix} |y| > 3 \\ x 鈮� 1 \end{matrix}$

Short Answer

Step by step solution

Step-1 – Concept of solution of linear inequalities

Step-2 – Concept of shading the region of the inequalities

Step-3 – Evaluation of solution

Step-4 – Shading the region

Step-5 – Plotting the graph

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Decision Maths

Mechanics Maths

Logic and Functions

Geometry

Applied Mathematics

Study anywhere. Anytime. Across all devices.

91影视

22: Solve each system of inequalities by graphing.y>3x鈮�1

Short Answer

Step by step solution

Step-1 – Concept of solution of linear inequalities

Step-2 – Concept of shading the region of the inequalities

Step-3 – Evaluation of solution

Step-4 – Shading the region

Step-5 – Plotting the graph

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Decision Maths

Mechanics Maths

Logic and Functions

Geometry

Applied Mathematics

Study anywhere. Anytime. Across all devices.

22: Solve each system of inequalities by graphing.
$\begin{matrix} |y| > 3 \\ x 鈮� 1 \end{matrix}$