Question

14x / x+1 < 9x - 30 / x-4

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

   14x/x+1 < 9x-30/x-4

=   14x/x+1 - 9x-30/x-4 < 0

Now Take The LCM and SUBTRACT

LCM= (x+1)(x-4)

=14x(x-4) -  (9x-30)(x+1)/(x+1)(x-4) < 0

=14$x^{2}$-56x-(9$x^{2}$+9x-30x-30)/(x+1)(x-4) < 0

=14$x^{2}$-56x-9$x^{2}$-9x+30x+30/(x+1)(x-4) < 0

=5$x^{2}$-35x+30/(x+1)(x-4) < 0

=$x^{2}$-7x+6/(x+1)(x-4) < 0

=$x^{2}$-6x-x+6/(x+1)(x-4) < 0

=x(x-6)-1(x-6)/(x+1)(x-4) < 0

=(x-6)(x-1)/(x+1)(x-4) < 0

AS x>1 & x>6

x <---- (-1,4)

It will be always greater than 0 (Denominator>0)

This is it

Dont forget to mark me brainliest if this helped you!!!

THANK YOU!