Question

Which of the following is equivalent to x2 < -2x?

x
x
x x
-2 0
-2 -1

Answer 1

@iGreen

Answer 2

Well, you can divide 'x' to both sides.

\(\sf x^2 < -2x\)

\(\sf \dfrac{x^2}{x} < \dfrac{-2}{x}\)

Answer 3

It cancels on the right, giving us:

\(\sf \dfrac{x^2}{x} < -2\)

Now simplify the left side

Answer 4

please I still do not understand @iGreen

Answer 5

\(\sf x^2 \rightarrow x \cdot x\)

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.

Answer 6

so is it x ?

Answer 7

Yes, it just leaves us with 'x'.

So our final answer is:

\(\sf x < -2\)

Answer 8

@iGreen thank you so much

Answer 9

Np