Chapter 11: Q. 44 (page 794)

In Problems 44 and 45, graph each inequality by hand. Verify your results using a graphing utility.
$3 x + 4 y \leq 12$

Short Answer

Expert verified

The graph of $3 x + 4 y \leq 12$ is

Step by step solution

Step 1. Given data

The given inequality is

$3 x + 4 y \leq 12$

Step 2. Properties of the graph of the inequality

Graph of $3 x + 4 y = 12$ will be a line

now test the point $(0, 0)$ inequality

$3 x + 4 y \leq 12 3 (0) + 4 (0) \leq 12 0 \leq 12$

inequality satisfied so the point $(0, 0)$ will lie in the region of inequality

So shade the region from line role="math" localid="1646954411324" $3 x + 4 y = 12$ toward the origin

Step 3. graph of the inequality

Plot a solid line $3 x + 4 y = 12$ and shade the region toward origin to plot the graph of $3 x + 4 y \leq 12$

Step 4. Verification

Plot the graph of $3 x + 4 y \leq 12$ using a graphing utility

Graph matches with our graph so our graph is correct.

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 Problems 44 and 45, graph each inequality by hand. Verify your results using a graphing utility.
$3 x + 4 y \leq 12$

Short Answer

Step by step solution

Step 1. Given data

Step 2. Properties of the graph of the inequality

Step 3. graph of the inequality

Step 4. Verification

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Mechanics Maths

Pure Maths

Calculus

Applied Mathematics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

In Problems 44 and 45, graph each inequality by hand. Verify your results using a graphing utility.3x+4y≤12

Short Answer

Step by step solution

Step 1. Given data

Step 2. Properties of the graph of the inequality

Step 3. graph of the inequality

Step 4. Verification

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Mechanics Maths

Pure Maths

Calculus

Applied Mathematics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

In Problems 44 and 45, graph each inequality by hand. Verify your results using a graphing utility.
$3 x + 4 y \leq 12$