anonymous
  • anonymous
|x - 1| >= 2
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
x-1>= 2 or -(x-1)>=2
anonymous
  • anonymous
x>=3 or -x+1>=2
anonymous
  • anonymous
x>=3 or x<= -1

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anonymous
  • anonymous
thanks ankur504 i got the same ans as you, but i'm confused because in the solutions it says (-infinity , -1] U [3 , +infinity) ???????
anonymous
  • anonymous
Same thing.
anonymous
  • anonymous
lokisan where does - infinity and all that come from?
anonymous
  • anonymous
ankur said x<=-1, so that means ALL x less than or equal to -1...
anonymous
  • anonymous
x>=3 means real numbers greater than 3 to infinity
anonymous
  • anonymous
Check out a number line...
anonymous
  • anonymous
The points -1 and 3 will partition it into three intervals: \[(-\infty,-1]\]\[(-1,3)\]\[[3,\infty)\]The set of all x that satisfy your inequality is then\[(-\infty, 1] \cup [3,\infty)\]
anonymous
  • anonymous
oh i understand now, thanks a bunch!
anonymous
  • anonymous
np :)

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