The Basics
Multi-Step Inequalities
Absolute Value Equations
Absolute Value Inequalities
Blast from the Past
100
Write an inequality to represent "The speed limit is 65 mph."
x < 65
100
12x + 2 < 14
x < 1
100
| 3x | = 9
x = 3 and x = -3
100
| -9x | < 54
-6 < x < 6
100
104 * 102
106
200
Write an inequality to represent "You will earn more than $8 per hour."
x > 8
200
-p - 4p > 10
p < -2
200
| -4 + 5x | = 16
x = 4 and x = -2.4
200
| 10 + 4x | > 14
x > 1 or x < -6
200
(52 * 5-3)-4
54
300
Explain how to graph x > 4 on a number line.
Put an open circle on 4 and shade to the right.
300
6 - 4(6n + 7) > 122
n < -6
300
3 - | 8x - 6 | = -3
x = 1.5 and x = 0
300
| b - 8 | + 10 > 22
b > 20 or b < -4
300
52 + 2[(8 - 5)2 
50
400
True or False?
0 is a solution to 3x + 1 < 4
True
400
-1 - 6x - 6 > -11 - 7x
x > -4
400
3 - |3x - 8 | = 7
No Solution
400
-6 + 2 | n - 2 | > 10
n > 10 or n < -6
400
Answer in scientific notation
(3.4 x 102) (4 x 105)
1.36 x 108
500
True or False?
4(x - 2) < 4x - 8 has many solutions.
False
500
3(1 - 2x) > 3 - 6x
No Solution
500
2 - 5 | 5m - 5 | = -73
x = 4 and x = -2
500
24 + 3 | 4v - 7 | < 51
-0.5 < v < 4
500
(5.3 x 10-4) - (2.7 x 10-5)
5.03 x 10-4