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Module 9 on Absolute value, Equations, and Inequalities.
Question | Answer |
---|---|
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. |