Graphing Inequalities
When graphing inequalities, which symbols have an open circle?
< less than
> greater than
Mr. Fuller had more than 8 chicken wings for dinner
x > 8
Solve
x +3 > 9
x > 6
Solve
2x + 3 < 11
x < 4
When graphing inequalities, which symbols have a closed circle?
Less than or equal to
Greater than or equal to
The class had less than 15 students
x < 15
Solve
x - 5 < 16
x < 21
Solve
x/3 + 4 > 12
x > 24
Graph x > 6
open circle on 6 with line going to the right
You need at least $20 to go to the movies
x >= 20
Solve
3x < -48
x < -16
Solve
4x - 4 < -16
x < -3
Graph 7 < x
Open circle on 7 with line to the right
The football game will last for at most 3 hours
x <= 3
Solve
x/-4 < 8
x > -32
Solve
-6x -7 > -43
x < 6
Graph -3 > x
Open circle on -3 and line going to the left
One student scored above 80 on the test, while another student scored below a 60 on the test. Most students scored at least a 70.
x > 80, x < 60, x >= 70
Solve
-9x > -72
x < 8
Solve
x+8/4 < -5
x < -28