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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
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)

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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)