Question

{x an element of R | x^2 <= 8x - 12} Graph on a number line.

Answer 1

You seem to have a quadratic inequality. Do you know how to solve quadratic equations?

Answer 2

Yes, just once I need to graph it, it gets difficult. I don't really understand how the number line graphs of numbers work.

Answer 3

Hmm. Well, your solutions are the points \((0, \text{ solution 1})\) and \((0, \text{ solution 2})\).

The idea is this: You graph the quadratic function \(f(x)=-x^2+8x-12\) and then shaden either the inside or the outside, depending on which satisfy your inequality.

Answer 4

Oh god, I'm sorry. It's reversed.
\((\text{solution 1 }, 0)\) and \((\text{solution 2 }, 0)\)