Chapter 4: Q. 298 (page 382)

In the following exercises, solve each system by graphing $\{\begin{cases} x - 2 y < 3 \\ y \leq 1 \end{cases}$

Short Answer

Expert verified

The darkest region represent the solution to the system of equations

Step by step solution

Given information

Given the system of equations $\{\begin{cases} x - 2 y < 3 \\ y \leq 1 \end{cases}$

Checking the point

The equation $x - 2 y = 3$ has intercept $- \frac{3}{2}, 3$ . Testing the point $(0, 0)$ , we get

$0 - 2 (0) < 3 0 - 0 < 3 0 < 3$ which is true

So origin is included

Checking for another equation

The equation $y \leq 1$ .Testing the point $(0, 0)$ , we get

$0 \leq 1$ which is true

So origin is included

Graph of the system of equation

The graph is

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In the following exercises, solve each system by graphing $\{\begin{cases} x - 2 y < 3 \\ y \leq 1 \end{cases}$

Short Answer

Step by step solution

Given information

Checking the point

Checking for another equation

Graph of the system of equation

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In the following exercises, solve each system by graphingx-2y<3y≤1

Short Answer

Step by step solution

Given information

Checking the point

Checking for another equation

Graph of the system of equation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Discrete Mathematics

Mechanics Maths

Probability and Statistics

Applied Mathematics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

In the following exercises, solve each system by graphing $\{\begin{cases} x - 2 y < 3 \\ y \leq 1 \end{cases}$