A21­4Notes.notebook
August 21, 2015
Algebra 2
Ch.1 Notes Page 2
P2 1­4 Solving Inequalities
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Solving Inequalities
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3x + 4 > 10
­2x + 7 > 15
Inequalities are solved the same way as equations with 2 exceptions...
1. If you multiply or divide by a negative on both sides of the problem, you must switch the direction of the inequality symbol to make the problem TRUE.
2. The graphs of inequalities use open or closed circles with arrows that point to the left or to the right.
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Both use Open Circles
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Both use Closed Circles
Note: Learn to Read from the Variable.
And Inequalities have to have both statements true.
Or Inequalities can have one or more statements that are ture.
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A21­4Notes.notebook
August 21, 2015
Absolute Value Equations
Equations and Inequalities with Absolute Values are easier to solve if you get the absolute value by itself first.
*Use the normal solving process to isolate the Abs. Val.
Once the Abs. Val. is by itself, create two equations.
*One will be positive and one will be negative.
Find the answer for both problems and check your answers.
There might be an extraneous solution.
(One that does not work in the original problem.)
|15 ­ 3x| = 6
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Absolute Value Inequalities
| x | > k
| x | < k OR
AND
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HW #2
1­4 P29 #3,5,11,13,19,22,33
Graph your solution on a number line.
Drop the Absolute Value Symbols
Do the Problem Two Times
On Second Problem, Switch Symbol and Sign
| 2x ­ 3 | > 7
| 3x ­ 4 | = ­4x ­ 1
| 3x + 4 | < 10
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Please put your name and class period at the top of the homework. Also include the homework number.
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