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Solve : $|x-4|>a$.
Case 1: $a>0$; Case 2: $a<0$

Progress

I am getting answers which look similar in both cases:

  • Let $a>0$ so $x>4+a$ or $x<4-a$ ,
  • Let $a<0$ so $x>4+a$ or $x<4-a$ .

Though I know that both answers' meaning is different I am unable to find out how the points included in both cases are different

I wish to know why it is so and how different both answers are when plotted on a number line.

  • 0
    can u show your work?2012-06-04
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    let a>0 so x>4+a or x<4-a , let a<0 so x>4+a or x<4-a .Though i know that both answer's meaning is different i am unable to find out how the points included in both cases are different2012-06-04
  • 0
    Related: http://math.stackexchange.com/questions/152869/absolute-value-of-a-real-number2012-06-04

2 Answers 2