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akash kashyp Grade: Upto college level
`        (|x+2|-x)/x<2 solve eq`
7 years ago

147 Points
```										dear akash
(|x+2|-x)/x<2
case 1 x<-2
so (-(x+2)-x)/x < 2
(-2x -2)/x <2
or (x+1)/x  > 1
1+ 1/x  >1
or  1/x >0
since x<-2 so no solution is possible
case -2 ≤x <0
so now

((x+2)-x)/x<2
2/x <2
1/x<1

since lest side is negative so it is valid for all value   -2 ≤x <0
case 3   x≥0
so
((x+2)-x)/x<2
2/x <2
x>1
so solution is possible for x>1
so final solution     -2 ≤x <0    and  x>1
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```
7 years ago
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