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Theorems of Inequalities

Solving Quadratic Inequalities
Find critical points (solve for x)
Sketch graph
If value of x is positive, it is min
if negative, it is max
If > 0 then find above 0 (the line)
If <0 then find below 0
Write answer as:
{x: x < a} etc
if two regions, do two sets and connect with U

Solving Rational Inequalities
Multiply throughout by the square of the denominator
Sketch graph, solve

THE END