Solving inequalities containing absolute value and graphing

# Solving inequalities containing absolute value and graphing...

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Solving inequalities containing absolute value and graphing To  solve an inequality containing absolute value , begin with the same steps as for solving equations  with absolute value. When creating the comparisons to both the + and – of the other side of the  inequality, reverse the direction of the inequality when comparing with the negative.  Example 3 Solve and graph the answer: |
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Unformatted text preview: x – 1| > 2. Notice that the absolute value expression is already isolated. | x – 1| > 2 Compare the contents of the absolute value portion to both 2 and –2. Be sure to reverse the direction of the inequality when comparing it with –2. Solve for x . Graph the answer (see Figure 1). Figure 1. The graphic solution to | x – 1| > 2....
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