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Compound Inequalities
Absolute Value
Miscellaneous
100
-5x > 15
What is x < -3
100

These inequalities have a tendency to graph apart

What are "or" inequalities?

100
An absolute value equation will have this many solutions.
What is 2?
100
six more than 5 times a number x is greater than or equal to 31
What is x is greater than or equal to 5?
200
-2x + 4 < 20
What is x > -8
200

These inequalities have a tendency to graph together. 

What are "and" inequalities? 

200
When solving absolute value equations, you do this after isolating the absolute value term.
What is write 2 equations?
200
twice the sum of 4 and x is less than -16
What is x is less than -12?
300
x + 15 < 3x -9
What is 12 < x
300
A graph of a compound inequality with "and" looks like this.
What is a line segment?
300
In absolute deviation problems, check your work by doing this.
What is ask yourself if the solutions make sense?
300
given value 3; absolute deviation 5
What is x = 8 and x = -2?
400
3x - 6 > 8 - 4x
What is x > 2
400
A graph of a compound inequality with "or" looks like this.
What are two rays pointing in opposite directions?
400
When checking absolute value equations, the solutions are substituted here.
What is the original equation?
400
the absolute value of (x-8) minus 9 equals -5
What is x = 12 and x = 4?
500
-3x - 5 > 10
What is x < -5
500
To solve a compound inequality with "or" you must do this.
What is write and solve 2 inequalities?
500
3 times the absolute value of (x-5) plus 4 equals 16
What is x = 9 and x = 1
500
-1/3 times the absolute value of (1-8x) equals 2
What is no solution?