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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