Chapter 4: Q. 676 (page 574)

In the following exercises, graph each linear inequality.
Graph the linear inequality
$y > \frac{2}{5} x - 4$ .

Short Answer

Expert verified

The graph of the given inequality is

Step by step solution

Step 1. Given Information

The given inequality is $y = \frac{2}{5} x - 4$ .

We have to find the graph of the given inequality.

Step 2. Definition of a solution

An ordered pair $(x, y)$ is a solution to the linear inequality if the pair of values satisfy the inequality when substituted.

Step 3. Conditions for the graph

Graph the boundary line $y = \frac{2}{5} x - 4$ .

One side of the boundary line satisfies $y > \frac{2}{5} x - 4$ and the other side satisfies $y < \frac{2}{5} x - 4$ .

Consider a point that is not on the boundary line, let say $(0, 0)$ .

Check if the point satisfies the given inequality or not.

$0 > 0 - 4 \Rightarrow 0 > - 4$ True. Therefore $(0, 0)$ is a solution of $y > \frac{2}{5} x - 4$ .

That is $y > \frac{2}{5} x - 4$ is one side of the boundary line $y = \frac{2}{5} x - 4$ that contains $(0, 0)$

Step 4. Graph of the inequality

The graph of $y = \frac{2}{5} x - 4$ considering all the conditions is:

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In the following exercises, graph each linear inequality.
Graph the linear inequality
$y > \frac{2}{5} x - 4$ .

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Definition of a solution

Step 3. Conditions for the graph

Step 4. Graph of the inequality

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In the following exercises, graph each linear inequality.Graph the linear inequalityy>25x-4.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Definition of a solution

Step 3. Conditions for the graph

Step 4. Graph of the inequality

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Statistics

Probability and Statistics

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Study anywhere. Anytime. Across all devices.

In the following exercises, graph each linear inequality.
Graph the linear inequality
$y > \frac{2}{5} x - 4$ .