Geometric Interpretation of Absolute Value: If a and b are points on a number line, then |a – b| may be interpreted geometrically as the distance between the points a and b on a number line. In other words: |a-b|=the distance between a and b on a number line Examples: Algebraic Statement Geometric Interpretation |5–3|=2 On a number line, the distance between 5 and 3 is 2 |B – 4|>7 On a number line, the distance between B and 4 is more than 7 1. Express the given geometric statement about numbers on the number line algebraically, using absolute values. a) The distance between 5 and P is at most 4. b) x is more than T units from 5. c) The distance between A and -2 is less than 7. d) x is closer to -3 than to 8. 2. For each of the following algebraic expressions, give a geometric interpretation. a) |x-4|=3 b) |x+2|>7 2.1.pdf

Geometric Interpretation of Absolute Value: If a and b are points on a number line, then |a – b| may be interpreted geometrically as the distance between the points a and b on a number line. In other words: |a-b|=the distance between a and b on a number line Examples: Algebraic Statement Geometric Interpretation |5–3|=2 On a number line, the distance between 5 and 3 is 2 |B – 4|>7 On a number line, the distance between B and 4 is more than 7 1. Express the given geometric statement about numbers on the number line algebraically, using absolute values. a) The distance between 5 and P is at most 4. b) x is more than T units from 5. c) The distance between A and -2 is less than 7. d) x is closer to -3 than to 8. 2. For each of the following algebraic expressions, give a geometric interpretation. a) |x-4|=3 b) |x+2|>7 2.1.pdf

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter2: Functions And Graphs

Section2.2: The Rectangular Coordinate System And Graphing Lines

Problem 103E

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