Question

Modulus

Answer 1

Cool! :P

Answer 2

What is ur question?

Answer 3

\[\left| \left| x \right|-1 \right| < \left| 1-x \right|\]

Answer 4

square both sides

Answer 5

Always try to remove that modulus sing there. It makes the work easier.

Answer 6

(|x| - 1)^2 < (1-x)^2

Now, solve !

Answer 7

\[\left| x \right|^{2} -2\left| x \right| +1 = x ^{2}-3x +1\]

Answer 8

LHS is right... RHS - check again!

Answer 9

-2x typo

Answer 10

Fine.

Now, see |x|^2 = x^2, right?

Answer 11

\[-2\left| x \right| = -2x\]

Answer 12

Good. You have |x| = x , right?

Answer 13

yeah

Answer 14

o.O don't forget the inequality " < "

Answer 15

\(-2 |x| < -2x\)

Divide -2 both sides :

\(|x| > x\)

Answer 16

-1

Answer 17

-1 is the answer

Answer 18

I am not able to delete my comments are you

Answer 19

Yep.. I can delete my comments.

Answer 20

The solution for this is x < 0 only..

Answer 21

You can not say that the answer is -1 or something...

put -2 at the place of x

|2 - 1| < |1+2|

1 < 3

which is true

so, any value for x which is less than 0 will satisfy the condition.

Answer 22

wait i am reading my internet wasn't working

Answer 23

well, we have :

|x| > x


x can be anything but less than zero.

Answer 24

yes all negative numbers

Answer 25

yeah , we cannot say exactly -1