Graphing Systems Of Inequalities
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Kuta Software - Infinite Algebra 1
Name___________________________________
Solving Systems of Inequalities
Date________________ Period____
Sketch the solution to each system of inequalities. 5 x−2 2 1 y≥ x+2 2
5 x+2 2 1 y≥ x−2 2
1) y ≤
2) y ≥
5
5
4
4
3
3
2
2
1
1
−5 −4 −3 −2 −1 0
1
2
3
4
5
−5 −4 −3 −2 −1 0
−2
−2
−3
−3
−4
−4
−5
−5
1
2
3
4
5
1
2
3
4
5
4) y < −3 y ≥ 4x + 1
1 x+2 2 y > 3x − 3
3) y ≤
5 5
4
4
3
3
2
2
1
1
−5 −4 −3 −2 −1 0
−5 −4 −3 −2 −1 0
1
2
3
4
5
−2
−2
−3
−3
−4
−4
−5
−5
-1-
1 x−1 3 4 y≤ x+2 3
1 6) y > − x − 3 3 5 y≤ x+3 3
5) y ≥
5
5
4
4
3
3
2
2
1
1
−5 −4 −3 −2 −1 0
1
2
3
4
5
−5 −4 −3 −2 −1 0
−2
−2
−3
−3
−4
−4
−5
−5
7) 2 x + y < −3 2 x − y ≤ −1
1
2
3
4
5
1
2
3
4
5
1
2
3
4
5
8) 3 x + y > −3 x + 2y < 4 5
5
4
4
3
3
2
2
1
1
−5 −4 −3 −2 −1 0
1
2
3
4
5
−5 −4 −3 −2 −1 0
−2
−2
−3
−3
−4
−4
−5
−5
9) x + y ≥ −3 5 x − y ≤ −3
10) 3 x − y ≥ −1 x + y ≤ −3 5
5
4
4
3
3
2
2
1
1
−5 −4 −3 −2 −1 0
1
2
3
4
5
−5 −4 −3 −2 −1 0
−2
−2
−3
−3
−4
−4
−5
−5
-2-
Kuta Software - Infinite Algebra 1
Name___________________________________
Solving Systems of Inequalities
Date________________ Period____
Sketch the solution to each system of inequalities. 5 x−2 2 1 y≥ x+2 2
5 x+2 2 1 y≥ x−2 2
1) y ≤
2) y ≥
5
5
4
4
3
3
2
2
1
1
−5 −4 −3 −2 −1 0
1
2
3
4
5
−5 −4 −3 −2 −1 0
−2
−2
−3
−3
−4
−4
−5
−5
1
2
3
4
5
1
2
3
4
5
4) y < −3 y ≥ 4x + 1
1 x+2 2 y > 3x − 3
3) y ≤
5 5
4
4
3
3
2
2
1
1
−5 −4 −3 −2 −1 0
−5 −4 −3 −2 −1 0
1
2
3
4
5
−2
−2
−3
−3
−4
−4
−5
−5
-1-
1 x−1 3 4 y≤ x+2 3
1 6) y > − x − 3 3 5 y≤ x+3 3
5) y ≥
5
5
4
4
3
3
2
2
1
1
−5 −4 −3 −2 −1 0
1
2
3
4
5
−5 −4 −3 −2 −1 0
−2
−2
−3
−3
−4
−4
−5
−5
7) 2 x + y < −3 2 x − y ≤ −1
1
2
3
4
5
1
2
3
4
5
1
2
3
4
5
8) 3 x + y > −3 x + 2y < 4 5
5
4
4
3
3
2
2
1
1
−5 −4 −3 −2 −1 0
1
2
3
4
5
−5 −4 −3 −2 −1 0
−2
−2
−3
−3
−4
−4
−5
−5
9) x + y ≥ −3 5 x − y ≤ −3
10) 3 x − y ≥ −1 x + y ≤ −3 5
5
4
4
3
3
2
2
1
1
−5 −4 −3 −2 −1 0
1
2
3
4
5
−5 −4 −3 −2 −1 0
−2
−2
−3
−3
−4
−4
−5
−5
-2-
Name___________________________________
Solving Systems of Inequalities
Date________________ Period____
Sketch the solution to each system of inequalities. 5 x−2 2 1 y≥ x+2 2
5 x+2 2 1 y≥ x−2 2
1) y ≤
2) y ≥
5
5
4
4
3
3
2
2
1
1
−5 −4 −3 −2 −1 0
1
2
3
4
5
−5 −4 −3 −2 −1 0
−2
−2
−3
−3
−4
−4
−5
−5
1
2
3
4
5
1
2
3
4
5
4) y < −3 y ≥ 4x + 1
1 x+2 2 y > 3x − 3
3) y ≤
5 5
4
4
3
3
2
2
1
1
−5 −4 −3 −2 −1 0
−5 −4 −3 −2 −1 0
1
2
3
4
5
−2
−2
−3
−3
−4
−4
−5
−5
-1-
1 x−1 3 4 y≤ x+2 3
1 6) y > − x − 3 3 5 y≤ x+3 3
5) y ≥
5
5
4
4
3
3
2
2
1
1
−5 −4 −3 −2 −1 0
1
2
3
4
5
−5 −4 −3 −2 −1 0
−2
−2
−3
−3
−4
−4
−5
−5
7) 2 x + y < −3 2 x − y ≤ −1
1
2
3
4
5
1
2
3
4
5
1
2
3
4
5
8) 3 x + y > −3 x + 2y < 4 5
5
4
4
3
3
2
2
1
1
−5 −4 −3 −2 −1 0
1
2
3
4
5
−5 −4 −3 −2 −1 0
−2
−2
−3
−3
−4
−4
−5
−5
9) x + y ≥ −3 5 x − y ≤ −3
10) 3 x − y ≥ −1 x + y ≤ −3 5
5
4
4
3
3
2
2
1
1
−5 −4 −3 −2 −1 0
1
2
3
4
5
−5 −4 −3 −2 −1 0
−2
−2
−3
−3
−4
−4
−5
−5
-2-
Kuta Software - Infinite Algebra 1
Name___________________________________
Solving Systems of Inequalities
Date________________ Period____
Sketch the solution to each system of inequalities. 5 x−2 2 1 y≥ x+2 2
5 x+2 2 1 y≥ x−2 2
1) y ≤
2) y ≥
5
5
4
4
3
3
2
2
1
1
−5 −4 −3 −2 −1 0
1
2
3
4
5
−5 −4 −3 −2 −1 0
−2
−2
−3
−3
−4
−4
−5
−5
1
2
3
4
5
1
2
3
4
5
4) y < −3 y ≥ 4x + 1
1 x+2 2 y > 3x − 3
3) y ≤
5 5
4
4
3
3
2
2
1
1
−5 −4 −3 −2 −1 0
−5 −4 −3 −2 −1 0
1
2
3
4
5
−2
−2
−3
−3
−4
−4
−5
−5
-1-
1 x−1 3 4 y≤ x+2 3
1 6) y > − x − 3 3 5 y≤ x+3 3
5) y ≥
5
5
4
4
3
3
2
2
1
1
−5 −4 −3 −2 −1 0
1
2
3
4
5
−5 −4 −3 −2 −1 0
−2
−2
−3
−3
−4
−4
−5
−5
7) 2 x + y < −3 2 x − y ≤ −1
1
2
3
4
5
1
2
3
4
5
1
2
3
4
5
8) 3 x + y > −3 x + 2y < 4 5
5
4
4
3
3
2
2
1
1
−5 −4 −3 −2 −1 0
1
2
3
4
5
−5 −4 −3 −2 −1 0
−2
−2
−3
−3
−4
−4
−5
−5
9) x + y ≥ −3 5 x − y ≤ −3
10) 3 x − y ≥ −1 x + y ≤ −3 5
5
4
4
3
3
2
2
1
1
−5 −4 −3 −2 −1 0
1
2
3
4
5
−5 −4 −3 −2 −1 0
−2
−2
−3
−3
−4
−4
−5
−5
-2-
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