Question

|x|<2/x find all the values of x​

Answer 1

Answer:

the value of x can be 1/3,1/2,1/4.. etc but remember you cannot put any negative value for x because in RHS there is no mod and if you put negative value, mod of any number is not negative.

।x।< 2/x... (1)

by multiplying x on both sides.

।x^2।< 2...(2)

you might think that negative values can be put in this equation.

but it will satisfy only second one. Second is the modified equation of first one. so you should check the value in both equations..

ex- you take x= -1/2

।-1/2^2।< 2

1/4< 2

it satisfys..

but if you take 1st equation..

।-1/2।< 2/(-1/2)

1/2< -4

this is incorrect..

I hope you understood the concept..

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