Absolute Value
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Absolute value is how far a number is away from zero (insert number) is the symbol for it. example: 6 = 6, because 6 is 6 numbers away from zero. The same applies for positives. 6 = 6, because 6 is 6 numbers away from 0.

Because it is a convenient way to make sure that a quantity is nonnegative; for example, you can define the distance between two real numbers
#a# and#b# as#a  b# .
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The absolute value of a number is simply the distance that number lies away from 0 on the number line. Absolute value eliminates the "direction" traveled to get there. It's like saying that you walked 3 meters frontward versus 3 meters backward. You walked 3 meters in different directions from where you started!
Some examples:#3 = 3# and#3=3#
#9 = 9#
#5 = 5#
#311 = 8 = 8# With a number line in front of you, you can point to any location and tell someone how far it is from 0 by just ignoring whether that point is to the left or right of 0. Think of that as "absolute value"!

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Linear Inequalities and Absolute Value

1Inequality Expressions

2Inequalities with Addition and Subtraction

3Inequalities with Multiplication and Division

4MultiStep Inequalities

5Compound Inequalities

6Applications with Inequalities

7Absolute Value

8Absolute Value Equations

9Graphs of Absolute Value Equations

10Absolute Value Inequalities

11Linear Inequalities in Two Variables

12Theoretical and Experimental Probability