Single Variable Inequalities
Compound Inequalities
Absolute Value
Equations
Absolute Value Inequalities
Graphing
100
x - 7 > 16
x > 23
100
-6 < 3x - 7 < 5
1/3 < x < 4
100
|x| = 3
x = -3 or x = 3
100
|x| > 12
x > 12 or x < -12
100
Is (-2, 3) a solution to 2x - y > -9?
YES; -7 > -9
200
-4x < 24
x > -6
200
4 < 1/2x + 2 < 8
4 < x < 12
200
|x + 6| = 5
x = -11 or x = -1
200
|x| < 3
-3 < x < 3
200
Graph: y > -x + 8
See Whiteboard
300
2x + 8 > -12
x > 10
300
7x - 9 > 12 or -3x + 1 > 7
x > 3 or x < -2
300
|6x + 1| = -4
no solution
300
|4x - 3| < 5
-1/2 < x < 2
300
Graph: y < 2/3 x - 4
See Whiteboard
400
-5(3 - x) + 21 < -3x + 14
x < 1
400
6x + 10 < 8 or 4x - 3 > 9
x < -1/3 or x > 3
400
3|2x - 2| + 4 = 10
x = 2 or x = 0
400
2|5x + 1| > 22
x > 2 or x < -2 2/5
400
Graph: x > -2
See Whiteboard
500
You want to spend no more than 80 dollars on an outfit for you birthday party. You have already spend 56 dollars on a shirt. Write an inequality to represent the possible cost of the rest of your outfit.
80 > 56 + x (greater than or equal to)
500
Translate: Five more than x is less than 8 or 3 less than x is greater than 5
5 + x < 8 or x - 3 > 5
500
The minimum and maximum values of 25 with an absolute deviation of 0.55.
24.45 and 25.55
500
4|x - 9| - 5 < 11
5 < x < 13
500
Graph: 2x - 3y < 6
See Whiteboard
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