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8.7 Solving Quadratic InequalitiesPowerPoint Presentation

8.7 Solving Quadratic Inequalities

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8.7 Solving Quadratic Inequalities

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8.7 Solving Quadratic Inequalities

Algebra 2

Mrs. Spitz

Spring 2007

- No School on Friday due to Parent/Teacher conferences. This an opportunity for your parents to get a get out of 1 homework assignment free for you.
- I will check 8.1, 8.3, 8.4 and 8.6 assignments. These are new assignments for the 4th quarter.
- Test on Thursday. You must be excused to take the make-up exam. I would recommend you take this before you go on Spring Break!!! You will not be taking the same exam when you return, and I guarantee it will be harder.

- Attendance—especially seniors. You fail at 11 absences. This is the Taos Municipal School District policy. You must have a 90% attendance rate in order to get credit for a class. (Especially SENIORS and especially if you want to graduate!)
- Wednesday 8.7/Chapter 8 Review
- Thursday Chapter 8 Exam/Binder due with all notes

- Solve quadratic inequalities in one variable.

Assignment

- pg. 386 #4-45 all

Another way that you can solve quadratic inequalities is by using three test points. First, solve the equation (x – 7)((x + 2) = 0

x – 7 = 0x + 2 = 0

x = 7x = -2

The points 7 and -2 separate the x-axis into three parts

x < -2, -2 < x < 7, or x > 7

The points 7 and -2 separate the x-axis into three parts

x < -2, -2 < x < 7, or x > 7

(x – 9)(x + 1) < 0

x – 9 = 0x + 1 = 0

x = 9x = -1

So one factors sign will be positive, the other negative.

one factor > and one factor is <

(a – 10)(a – 3) ≤ 0

a – 10 ≤ 0 a – 3 ≤ 0

a ≤ 10a ≤ 3

a ≤ 10 and a ≥ 3 or a ≥ 10 and a ≤ 3 OR

3 ≤ a ≤ 10 or {a|3 ≤ a ≤ 10}