Can someone solve this rational inequality

It would be much appreciated if someone could solve this for me :)
x/(x+1) < x/(x-1)

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

Don't let the inequality confuse you. just act like the inequality is a equal sign.

Once you understand, then cross-multiply.

x(x - 1) < x(x + 1)

Distribute the x

x^2 - x < x^2 + x

Subtract x^2 to both sides. Add x to both sides.

x^2 - x^2 - x + x < x^2 - x^2 + x + x

0 < 2x

Divide 2 to both sides.

0 / 2 < 2x / 2

0 < x

The answer is 0 < x

richard has it right. just dont forget that with an inequality whenever you divide or multiply by a negative number the sign changes direction.