Solve the inequality.
-4 < 2x - 6 < 12
[?]

Hi ;-)

-4 ≤ 2x - 6 ≤ 12

2x - 6 ≥ -4  / + 6

2x ≥ 2  / : 2

x ≥ 1

2x - 6 ≤ 12  / + 6

2x ≤ 18  / : 2

x ≤ 9

because linear equations are a lot simpler than quadratics equations, and linear equations formula is a lot easier to memorize. that's why i think they're harder.

answer: both chords and diameters have two endpoints on a circle. diameters must intersect the center of a circle.