This document contains instructions for graphing systems of inequalities on a coordinate plane. It lists 8 systems of inequalities and provides blank coordinate planes for graphing the solution sets of each system. The systems involve various combinations of linear inequalities in the variables x and y. The task is to graph the region defined by satisfying all the inequalities in each system on the corresponding coordinate plane.

1. Chapter 3.4 Name: ______________________
Graphing Systems of Inequalities Date: _______________________
Classwork
Graph the system of inequalities.
1. 3 1
2
y x
y x
> −
< +
2. 2
4
x
x y
≥ −
+ ≤
1 2 3 4 5 6–1–2–3–4–5–6 x
1
2
3
4
5
6
–1
–2
–3
–4
–5
–6
y
1 2 3 4 5 6–1–2–3–4–5–6 x
1
2
3
4
5
6
–1
–2
–3
–4
–5
–6
y
3. 4
2
y
x
> −
≤
4. 2 3 12
3 4
x y
x y
+ ≥ −
− <
1 2 3 4 5 6–1–2–3–4–5–6 x
1
2
3
4
5
6
–1
–2
–3
–4
–5
–6
y
1 2 3 4 5 6–1–2–3–4–5–6 x
1
2
3
4
5
6
–1
–2
–3
–4
–5
–6
y

2. Chapter 3.4 Name: ______________________
Graphing Systems of Inequalities Date: _______________________
Classwork
5. 3 6
3 4
x y
x y
− ≤
− <
6. 4 5 3
3 2 1
y x
x y
− <
− >
1 2 3 4 5 6–1–2–3–4–5–6 x
1
2
3
4
5
6
–1
–2
–3
–4
–5
–6
y
1 2 3 4 5 6–1–2–3–4–5–6 x
1
2
3
4
5
6
–1
–2
–3
–4
–5
–6
y
7. 3
1
3
2
4
x
y
y x
> −
> −
< − +
8. 3 3
4
2 3 18
x y
x y
x y
− ≥ −
+ ≤
− ≤
1 2 3 4 5 6–1–2–3–4–5–6 x
1
2
3
4
5
6
–1
–2
–3
–4
–5
–6
y
1 2 3 4 5 6–1–2–3–4–5–6 x
1
2
3
4
5
6
–1
–2
–3
–4
–5
–6
y