Education.com
Try
Brainzy
Try
Plus

# Systems of Inequalities Help (page 3)

(not rated)
By McGraw-Hill Professional
Updated on Oct 4, 2011

#### Examples

• First we will shade the solution for x + y ≤ 4.

Fig. 10.25

The region for x ≥ 1 is the right of the line x = 1, so we will erase the region to the left of x = 1.

Fig. 10.26

The solution to yx is the region below the line y = x , so we will erase the shading above the line y = x .

The shaded region in Figure 10.27 is the solution for the system.

Fig. 10.27

We will begin with y > x 2 − 16.

Fig. 10.28

The solution to x < 2 is the region to the left of the line x = 2. We will erase the shading to the right of x = 2.

Fig. 10.29

The solution to y < −5 is the region below the line y = −5. We will erase the shading above the line y = − 5.

Fig. 10.30

Fig. 10.31

The solution to − x + y < −8 is the region below the line − x + y = −8, so we will erase the shading above the line. The solution to the system is in Figure 10.31 .

## Systems of Inequalities Practice Problems

#### Practice

Graph the solution.

1. 2 x − 4 y < 4
2. x > 1
3. y ≤ −1
4. yx 2 − 4
5. y > x 3
6. y < |x|
7. y ≤ ( x − 3)( x + 1)( x + 3)
8.
9.
10.
11.

#### Solutions

1.

Fig. 10.32

2.

Fig. 10.33

3.

Fig. 10.34

4.

Fig. 10.35

5.

Fig. 10.36

6.

Fig. 10.37

7.

Fig. 10.38

8.

Fig. 10.39

9.

Fig. 10.40

10.

Fig. 10.41

11.

Fig. 10.42

Practice problems for this concept can be found at: Systems of Equations and Inequalities Practice Test.

150 Characters allowed

### Related Questions

#### Q:

See More Questions

### Today on Education.com

Top Worksheet Slideshows