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A25-7 Quadratic Inequalities Notes
1. Algebra 2
5.7 Graphing and Solving Quadratic Inequalities
To graph y > x2
– 2x – 3, draw the parabola and ______________ the area indicated by
the inequality.
Ex 2 Graph y ≤ 2x2
– 5x – 3
Ex 3 Graphing _______________________ of inequalities
y ≥ x2
– 4
y < – x2
– x + 2
2. Solving Inequalities:
EX 4 Solve x2
+ 2x ≤ 8
1. Solve the equation to find the “critical x-values.”
2. Plot the critical numbers on a number line. Test a different number inside each
region made by the critical numbers.
3. Write the regions that satisfy the inequality.
HW p. 303 (14 – 40 even)