Question

Solve |(x-1)/(x+1)|<1

Answer 1

If \[\left| x \right|<a\]where a is a positive number, then\[-a <x <a\]
Start there.

Answer 2

\[-1<\frac{x-1}{x+1}<1\]
I am stuck here. Next step is supposed to multiply -1 and 1 with the denominator but if \(x+1<0\) the "<" sign would be ">" but how do I know whether \(x+1<0\) or \(x+1>0?\)

Answer 3

now you have to solve separately.

Answer 4

do you know about wavy curves.

Answer 5

@subham.bagrecha what about the sign?
@satellite73

Answer 6

well, u have two problems...
first, -1 < (x-1)/(x+1) and
(x-1)/(x+1) < 1 just to find solution of both!

Answer 7

For first part:
-x-1< x-1
2x>0 -> x>0
For second part
x-1< x+1
0 < 2 -> useless.
So x>0

Answer 8

in inequality dont use cross product !!

Answer 9

should be like this