balabonchik
balabonchik balabonchik
  • 13-10-2017
  • Mathematics
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How does solving absolute value inequalities relate to solving compound inequalities?

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Catya
Catya Catya
  • 13-10-2017

An absolute value inequality is solved by re-writing it as compound inequality. For example.

|x+1| < 5

Since the value inside the absolute value brackets: (x+1) can be positive or negative, it is re-written as a compound inequality as the example below.

x+1 < 5

x+1 > - 5

solve for the range of values x can be

-6 < x < 4


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