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# Sara's Stacks

### Module 9 on Absolute value, Equations, and Inequalities.

Solve: x - 7 < and 2x + 1 < 9 x - 7 < 2 and 2x + 1 < 9 x < 9 and 2x < 8 x < 9 and x < 4
|x| = 7 7, -7
|x| = 2 2, -2
|-4| - |17| = -13
|-8| - |15| = -7
What are two inequalities joined by AND or OR called? Compound Inequalities
What is the standard form for an absolute value function? f(x) = a |mx+b| +c
What does the symbol |x| denote? |x| denotes the absolute value of x, which is the without its sign. For example, |+4|=4 |-4|=-4
There are two forms of absolute value inequalities. What are they? One with LESS THAN, for example, |a|<6 One with GREATER THAN, for example, |a|>6 Note: They are solved differently!!
What are some others names (or terms) for absolute value? Other names for absolute value include "numerical value," "modulus," and "magnitude.
Created by: sarabelle1818