Linear Inequalities and Systems of Linear Inequalities
INSTRUCTIONS: Graph the solution for each linear inequality.
1. y > 2 x
-10
2. y < −2 x + 3
y
y
10
10
5
5
-5
5
10 x
-5
-5
-5
-10
-10
1
3. y ≥ − x + 1
2
-10
-10
4. y ≤
y
10
10
5
5
5
10 x
-10
-5
-5
-5
-10
-10
© 2008 CompassLearning, Inc. All rights reserved
10 x
5
10 x
3
x −3
4
y
-5
5
Learning activities: A1841, A1843, MM147
5. y < 3
-10
6. y ≤ 5 x
y
y
10
10
5
5
-5
5
10 x
-5
-5
-5
-10
-10
5
10 x
5
10 x
8. y ≤ − x + 3
7. y ≥ − x − 5
-10
-10
y
y
10
10
5
5
-5
5
10 x
-10
-5
-5
-5
-10
-10
© 2008 CompassLearning, Inc. All rights reserved
Learning activities: A1841, A1843, MM147
3
9. y ≤ − x − 2
5
-10
10. y >
1
x+2
5
y
y
10
10
5
5
-5
5
10 x
-10
-5
5
-5
-5
-10
-10
10 x
INSTRUCTIONS: Graph the solution for each system of linear
inequalities.

1
y ≥ x + 2
11. 
5
 y ≥ −2 x
-10
y < x + 2
12. 
y < − x
y
y
10
10
5
5
-5
5
10 x
-10
-5
5
-5
-5
-10
-10
© 2008 CompassLearning, Inc. All rights reserved
10 x
Learning activities: A1841, A1843, MM147
 y ≤ −3x − 1

13. 
1
 y > − x
2
-10
y < x
14. 
y > − x
y
y
10
10
5
5
-5
5
10 x
-5
-5
-5
-10
-10
y < x − 4
15. 
 y ≥ −2 x
-10
-10
5
10 x
5
10 x
 y ≤ −1
16. 
y ≥ − x
y
y
10
10
5
5
-5
5
10 x
-10
-5
-5
-5
-10
-10
© 2008 CompassLearning, Inc. All rights reserved
Learning activities: A1841, A1843, MM147

2
 y ≤ − x + 1
3
17. 
y > 1 x − 2

2
-10
y ≤ x − 3
18. 
y ≤ − x + 2
y
y
10
10
5
5
-5
5
10 x
-5
-5
-5
-10
-10
5
10 x
5
10 x
9

y < x − 3
20. 
10
 y > 4 x − 6
y < 3
19. 
y ≤ x − 2
-10
-10
y
y
10
10
5
5
-5
5
10 x
-10
-5
-5
-5
-10
-10
© 2008 CompassLearning, Inc. All rights reserved
Learning activities: A1841, A1843, MM147