Transform given inequalities

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I have a problem with transforming this inequalities.

$ \frac{y}{4}\leq x^2\leq 2y\leq \frac{8}{x}$

How can you transform this to draw easily on a paper ?

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Hint:

  1. $y = 4x^2$ is a parabola.
  2. $x^2 = 2y$ is another parabola.
  3. $2xy = 8$, or equivalently, $xy = 4$, is a hyperbola.

Can you take it from here?