## anonymous one year ago Which of the following is equivalent to x2 < -2x? x x x x -2 0 -2 -1

1. anonymous

@iGreen

2. iGreen

Well, you can divide 'x' to both sides. $$\sf x^2 < -2x$$ $$\sf \dfrac{x^2}{x} < \dfrac{-2}{x}$$

3. iGreen

It cancels on the right, giving us: $$\sf \dfrac{x^2}{x} < -2$$ Now simplify the left side

4. anonymous

please I still do not understand @iGreen

5. iGreen

$$\sf x^2 \rightarrow x \cdot x$$ So we have: $$\sf \dfrac{x \cdot x}{x} < -2$$ Cancel out one of the $$\sf x$$'s on the top and one of the $$\sf x$$'s on the bottom.

6. anonymous

so is it x ?

7. iGreen

Yes, it just leaves us with 'x'. So our final answer is: $$\sf x < -2$$

8. anonymous

@iGreen thank you so much

9. iGreen

Np

Find more explanations on OpenStudy