Chapter 11: Q. 30 (page 783)

In Problems 23–34, graph each system of linear inequalities by hand. Verify your results using a graphing utility
$\{\begin{cases} x + 4 y \leq 8 \\ x + 4 y \geq 4 \end{cases}$

Short Answer

Expert verified

The graph is

Step by step solution

Step 1. Graphing line x+4y≤8

The graph of the line $x + 4 y \leq 8$ can be plotted by plotting the line $x + 4 y = 8$ Now, the graph is shaded including the origin because it satisfies the point $(0, 0)$

Step 2. Graph the line x+4y≥4

The graph of the line $x + 4 y = 4$ will be plotted first.

Now, the graph is shaded excluding the origin because it does not satisfy the point (0,0)

Step 3. Final graph

The intersection of both the graphs of the lines will give the final graph.

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In Problems 23–34, graph each system of linear inequalities by hand. Verify your results using a graphing utility
$\{\begin{cases} x + 4 y \leq 8 \\ x + 4 y \geq 4 \end{cases}$

Short Answer

Step by step solution

Step 1. Graphing line x+4y≤8

Step 2. Graph the line x+4y≥4

Step 3. Final graph

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In Problems 23–34, graph each system of linear inequalities by hand. Verify your results using a graphing utility x+4y≤8x+4y≥4

Short Answer

Step by step solution

Step 1. Graphing line x+4y≤8

Step 2. Graph the line x+4y≥4

Step 3. Final graph

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Theoretical and Mathematical Physics

Mechanics Maths

Decision Maths

Discrete Mathematics

Pure Maths

Study anywhere. Anytime. Across all devices.

In Problems 23–34, graph each system of linear inequalities by hand. Verify your results using a graphing utility
$\{\begin{cases} x + 4 y \leq 8 \\ x + 4 y \geq 4 \end{cases}$