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Absolute value

Absolute value notes

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Algebra
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Linear equation

1-4, 1-6 Solving Absolute Value Equations and Inequalities Absolute value: distance from zero on a number line. Since distance in a nonnegative, the absolute value of a number is always positive. The symbol lxi is used to represent the absolute value of a number x. I units 4 units I I I I 1 I 3 4 5 Solving Absolute Value Equations: For any real numbers a and b, where b ~! 0, if Jal = then a = b or ?a = b. The second case is often written as a = ?b. Steps 1. Isolate the Absolute Value expression 2. Rewrite equation without the I I symbols. a. One with positive answer b. One with negative answer Ex 1: Jx-51=7 x-c3- ?t-3 k'3 + 3. Solve each equation '7 2\: flL1 - '7 I 2 - \ - 4. Check your answers (plug back into I T

Algebra stuff

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Human–computer interaction
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*ABSOLUTE VALUE EQUATIONS AND INEQUALITIES* You learned how to find the absolute value of a number long ago. In this topic you deepened your understanding of the absolute value function by exploring its graph. You can think of the graph as pieces of two different linear functions. The graph gives you a visual representation of the definition of absolute value: As you have seen in the examples, a may represent a number, a single variable, or a longer expression involving numbers and variables. ? ** If this seems complicated, learn the definition in words and repeat it as you use it: If the expression is positive or zero, the absolute value is the same expression; and if the expression is negative, the absolute value is the opposite of the expression.
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