Chapter 4: Q. 302 (page 472)

In the following exercises, solve each system by graphing.
$\{\begin{cases} y \geq \frac{3}{4} x - 2 \\ y < 2 \end{cases}$

Short Answer

Expert verified

In the following exercises, solve each system by graphing.

Step by step solution

Given information

Given system of equation

$\{\begin{cases} y \geq \frac{3}{4} x - 2 \\ y < 2 \end{cases}$

Graph the system of equations

The system of equations $y = \frac{3}{4} x - 2$ has intercept $x = 2.6, y = - 2$ The boundary is solid. Origin lies within as putting $(0, 0) 0 \geq - 2$

which holds true.

Calculating for second equation

For $y < 2$ , the intercepts are $x = 0, y = 2$ and testing the point $(0, 0)$ , we get

$0 < 2$ which is true hence, origin is contained in it.

Plotting the graph

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.

In the following exercises, solve each system by graphing.
$\{\begin{cases} y \geq \frac{3}{4} x - 2 \\ y < 2 \end{cases}$

Short Answer

Step by step solution

Given information

Graph the system of equations

Calculating for second equation

Plotting the graph

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Pure Maths

Applied Mathematics

Calculus

Mechanics Maths

Decision Maths

Study anywhere. Anytime. Across all devices.

In the following exercises, solve each system by graphing.y≥34x-2y<2

Short Answer

Step by step solution

Given information

Graph the system of equations

Calculating for second equation

Plotting the graph

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Pure Maths

Applied Mathematics

Calculus

Mechanics Maths

Decision Maths

Study anywhere. Anytime. Across all devices.

In the following exercises, solve each system by graphing.
$\{\begin{cases} y \geq \frac{3}{4} x - 2 \\ y < 2 \end{cases}$