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Grade 11Algebra

will you answer the following question |x+2|-|x-1|

Profile image of Sankar
8 Years agoGrade 11
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2 Answers

Profile image of Arun
8 Years ago
Dear student
 
In this type of question break these at point of discontinuity
i.e. at 1 & -2
 
When x
 
-x -2 + x -1 = 0
-3 = 0 it is unacceptable hence x can't be less than -2
 
Now if -2
x+2 + x -1 = 0
2x = -1
x = -1/2
 
If x>1
 
x +2 -x +1 = 0
3 = 0 hence x can't be greater than 1
 
Profile image of Bir
8 Years ago
|x|=x:x>0......|x|=-x:x