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1.4 Absolute Values

1.4 Absolute Values. Solving Absolute Value Equations By putting into one of 3 categories. What is the definition of “Absolute Value”?. Absolute Value is the distance from 0 on the number line. Mathematically, For example, in , where could x be?. 0. 3. -3.

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1.4 Absolute Values

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  1. 1.4 Absolute Values Solving Absolute Value Equations By putting into one of 3 categories

  2. What is the definition of “Absolute Value”? Absolute Value is the distance from 0 on the number line. Mathematically, For example, in , where could x be? 0 3 -3

  3. To solve these situations, we will set up 2 “cases” that accurately describe where the inside could be, then solve each. Consider Where could 3x – 2 be? 0 -10 10

  4. That was Category 1 Category 1 is used when the absolute value is equal to a number

  5. Absolute Value Inequalities Think logically about another situation. What does mean? For instance, in the equation , where on the number line could x6 be? x+6 0 -5 5

  6. How does that translate into a sentence? Now solve for x. This is Category 2: when x is less than a number

  7. Absolute Value Inequalities What does mean? In the equation , where on the number line could 2x1 be? 2x+1 2x+1 0 -11 11

  8. So, or Now solve for x. This is Category 3: when x is greater than or equal to a number

  9. Less than = Leash = Between = And Greater than = Or Note:  is the same as ; is the same as ; just have the sign in the rewritten equation match the original.

  10. Examples

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