Student Activity
Exploring Inequalities
1. a) Graph 2x - 3y < 6 on the coordinate plane below.
Y
5
4
3
2
-4
-3
-2
-1
1
2
3
4
5
-5
-4
-3
-2
-1
0
1
2
3
4
5
X
-5
X
1
-1
-2
-3
-4
-5
b) Let y = 0 , solve for x and graph the solution on the number line above.
c) Explain the relationship between the coordinate plane graph and the number line graph.
2
2. a) Graph y < -x + 4 on the coordinate plane below.
Y
5
4
3
2
-4
-3
-2
-1
1
2
3
4
5
-5
-1
-4
-3
-2
-1
0
1
2
3
4
5
X
-5
X
1
-2
-3
-4
-5
b) Let y = 0 , solve for x and graph the solution on the number line above.
c) Explain the relationship between the coordinate plane graph and the number line graph.
83
Student Activity
3. a) Graph y ≥
x - 1 - 2 on the coordinate plane below.
Y
5
4
3
2
-4
-3
-2
-1
1
2
3
4
5
-1
-5
-2
-4
-3
-2
-1
0
1
2
3
4
5
X
-5
X
1
-3
-4
-5
b) Let y = 0 , solve for x and graph the solution on the number line above.
c) Explain the relationship between the coordinate plane graph and the number line graph.
2
4. a) Graph y ≤ ⎛⎝ x + 1⎞⎠ - 4 on the coordinate plane below.
Y
5
4
3
2
-4
-3
-2
-1
1
2
3
4
5
-5
-1
-4
-3
-2
-1
0
1
2
3
4
-2
-3
-4
-5
b) Let y = 0 , solve for x and graph the solution on the number line above.
c) Explain the relationship between the coordinate plane graph and the number line graph.
84
5
X
-5
X
1