Quadratic Equations
Alg 2 BC U5 Day 9 – Quadratic Inequalities
Quadratic Inequalities in ONE Variable: We will __________ them.
Quadratic Inequalities in TWO Variables: We will ____________ them.
Solving inequalities in one variable: Find critical values and partition the number line.
1. [pic]
2. [pic]
APPLICATION: A rectangle is 6 meters longer than it is wide. Find the possible dimensions of the rectangle if the area if at least 216 square meters.
GRAPHING Quadratic Inequalities in TWO VARIABLES:
Graph, from either standard form or vertex form. Choose solid/dotted line. Shade the correct region.
[pic] [pic]
RELATING GRAPHS TO ONE-VARIABLE INEQUALITIES:
Solve the inequality: [pic]
Now GRAPH the parabola [pic]
What do you notice?
Homework:
Graph the following:
|1. [pic] | |
2. [pic]
3. [pic]
Solve the following inequalities, writing your answer in set notation. Use EXACT values, not decimal approximations.
4. [pic] 5. [pic]
6. [pic] 7. [pic]
8. [pic]
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** No Calculators on these notes or Homework problems !!
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