Algebra
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Unit 3: Solving Inequalities
Lesson 3.7: What are Absolute Value Inequalities (and Equations) and How Can We Solve Them?
When you have the absolute value of a unknown, there are two possibilities.
In example 1, x could be both positive and negative in order to get the answer of 9.
In example 1, x could be both positive and negative in order to get the answer of 9.
How do we solve an absolute value equation with a lot of steps?
It is impossible to take the absolute value of an expression and get a negative number.
If after you isolate your absolute value you end up with a negative number on the other side,
there are no real solutions to your problem.
If after you isolate your absolute value you end up with a negative number on the other side,
there are no real solutions to your problem.