Question

x/x+2<_1/x
answer plzz...​

Answer 1

It's Linear Inequality problem (can be also non-linear)

x/x+2 greater than or equal to 1/x

Or, x/x+2-1/x greater than or equal to 1/x-1/x. [Subtracting 1/x from both sides]

Or, x^2-x-2 greater than or equal to 0

Or, x^2-2x+x-2 greater than or equal to 0

Or, x(x-2) +1(x-2) greater than or equal to 0

Or, (x+1)(x-2) greater than or equal to 0

Therefore x+1-1 greater than or equal to 0-1

Hence, x greater than or equal to -1

OR x greater than or equal to 2

[CHANGING SIGNS FROM BOTH SIDES RESPECTIVELY]

THIS IS YOUR ANSWER ..HOPE IT HELPS☺️