cancinator2016 cancinator2016
  • 12-11-2017
  • Mathematics
contestada

All real numbers more than 3 units from -2 (in an absolute value inequality)

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altavistard
altavistard altavistard
  • 12-11-2017
Draw a number line.  Locate the origin and x = -2.  Beginning at x = -2, move 3 units to the right.  You'll end up at x = 1.  Next, beginning at x = -2, move 3 units to the left.  You'll end up at x = -5.  

The solution set consists of all real numbers greater than 1 or less than -5.

(-infinity, -5) OR (1, +infinity)
Answer Link

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