Chapter 4: Q. 301 (page 472)

In the following exercises, solve each system by graphing.
$\{\begin{cases} y \leq - \frac{2}{3} x + 5 \\ x \geq 3 \end{cases}$

Short Answer

Expert verified

The darkest region is the solution to the system of equations.

Step by step solution

Given information

Given system of equations

$\{\begin{cases} y \leq - \frac{2}{3} x + 5 \\ x \geq 3 \end{cases}$

Graph the system of equations

The system of equations $y = - \frac{2}{3} x + 5$ has intercept $x = 7.5, y = 5$ The boundary is solid.

Calculating for second equation

For $x \geq 3$ , the intercepts are $x = 3, y = 0$ and testing the point $(0, 0)$ , we get

$0 \geq 3$ which is false hence, origin is not contained in it.

Plotting the graph

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In the following exercises, solve each system by graphing.
$\{\begin{cases} y \leq - \frac{2}{3} x + 5 \\ x \geq 3 \end{cases}$

Short Answer

Step by step solution

Given information

Graph the system of equations

Calculating for second equation

Plotting the graph

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In the following exercises, solve each system by graphing. y≤-23x+5x≥3

Short Answer

Step by step solution

Given information

Graph the system of equations

Calculating for second equation

Plotting the graph

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Decision Maths

Theoretical and Mathematical Physics

Calculus

Logic and Functions

Mechanics Maths

Study anywhere. Anytime. Across all devices.

In the following exercises, solve each system by graphing.
$\{\begin{cases} y \leq - \frac{2}{3} x + 5 \\ x \geq 3 \end{cases}$