Systems of Inequalities - Kuta Software

[Pages:6]Kuta Software - Infinite Algebra 2

Name___________________________________

Systems of Inequalities

Date________________ Period____

Sketch the solution to each system of inequalities.

1) y > 4x - 3 y -2x + 3

2) y -5x + 3 y > -2

5 4 3 2 1

-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5

12345

5 4 3 2 1

-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5

12345

3) y < 3 y -x + 1

5 4 3 2 1

-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5

12345

4) y x - 3 y -x - 1

5 4 3 2 1

-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5

12345

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Worksheet by Kuta Software LLC

5) x -3 5x + 3y -9

5 4 3 2 1

-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5

12345

7) x + y > 2 2x - y > 1

5 4 3 2 1

-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5

12345

6) 4x - 3y < 9 x + 3y > 6

5 4 3 2 1

-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5

12345

8) x + y 2 4x + y -1

5 4 3 2 1

-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5

12345

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Worksheet by Kuta Software LLC

9) 4x + 3 y > -6 x - 3 y -9

5 4 3 2 1

-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5

12345

11) 3x + y -3 x + 2y 4

5 4 3 2 1

-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5

12345

Critical thinking questions:

13) State one solution to the system y < 2x - 1 y 10 - x

10) y < -2 x+ y1

5 4 3 2 1

-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5

12345

12) x + y -3 x+ y3

5 4 3 2 1

-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5

12345

14) Write a system of inequalities whose solution is the set of all points in quadrant I not including the axes.

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Worksheet by Kuta Software LLC

Kuta Software - Infinite Algebra 2

Name___________________________________

Systems of Inequalities

Date________________ Period____

Sketch the solution to each system of inequalities.

1) y > 4x - 3 y -2x + 3

2) y -5x + 3 y > -2

5 4 3 2 1

-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5

12345

5 4 3 2 1

-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5

12345

3) y < 3 y -x + 1

5 4 3 2 1

-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5

12345

4) y x - 3 y -x - 1

5 4 3 2 1

-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5

12345

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Worksheet by Kuta Software LLC

5) x -3 5x + 3y -9

5 4 3 2 1

-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5

12345

7) x + y > 2 2x - y > 1

5 4 3 2 1

-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5

12345

6) 4x - 3y < 9 x + 3y > 6

5 4 3 2 1

-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5

12345

8) x + y 2 4x + y -1

5 4 3 2 1

-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5

12345

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Worksheet by Kuta Software LLC

9) 4x + 3 y > -6 x - 3 y -9

5 4 3 2 1

-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5

12345

11) 3x + y -3 x + 2y 4

5 4 3 2 1

-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5

12345

10) y < -2 x+ y1

5 4 3 2 1

-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5

12345

12) x + y -3 x+ y3

5 4 3 2 1

-5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5

12345

Critical thinking questions:

13) State one solution to the system y < 2x - 1 y 10 - x

Many solutions. Ex: (10, 10) or (5, 8)

14) Write a system of inequalities whose solution is the set of all points in quadrant I not including the axes.

x > 0, y > 0

Create your own worksheets like this one with Infinite Algebra 2. Free trial available at

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Worksheet by Kuta Software LLC

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