Chapter 5: Q23. (page 325)

Graph each inequality. $y < 4 x - 1$

Short Answer

Expert verified

A graph of given inequality is

Step by step solution

Step 1. Write steps to graph inequality.

1. If an inequality contains $< or >$ , then use dotted line and if an inequality contains $\leq or \geq$ , then use solid line.

2. Use test point to determine which half plane should be shaded.

3. Shade the half plane that contains the solution.

Step 2. Select a test point.

Let $(0, 0)$ be a test point. Substitute 0 for $x$ and 0 for $y$ into $y < 4 x - 1$ .

$\begin{matrix} 0 < 4 (0) - 1 \\ 0 < - 1 \end{matrix}$

As the obtained statement is false, the other half plane is the solution.

Step 3. Graph an inequality.

Graph an inequality, $y < 4 x - 1$ and shade the half plane.

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Graph each inequality. $y < 4 x - 1$

Short Answer

Step by step solution

Step 1. Write steps to graph inequality.

Step 2. Select a test point.

Step 3. Graph an inequality.

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Graph each inequality.y<4x−1

Short Answer

Step by step solution

Step 1. Write steps to graph inequality.

Step 2. Select a test point.

Step 3. Graph an inequality.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Applied Mathematics

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Pure Maths

Logic and Functions

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Graph each inequality. $y < 4 x - 1$