| ax² + bx + c | ≤ | Ax² + Bx + C | => | b²-4ac |≤ | B²-4AC |

This is a challenge question my teacher put Im only in math 102 2nd alg class, I'm a little loss I know a its polynomial theorem and the other is the discriminant. He said to treat it like a parabola and that we can remove the absolute value by just make the parabola go upwards or downwards.

First off I don't know what the difference is between the lowercase a and Uppercase A