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3. For each algebraic statement below, use a geometric interpretation to help you sketch the graph of all x-values that satisfy the given inequality/equation. Then, use your graph to write the solution set. Write the solution set using interval notation. a) |x- 4|< 3 b) |x+5|28

3. For each algebraic statement below, use a geometric interpretation to help you sketch the graph of all x-values that satisfy the given inequality/equation. Then, use your graph to write the solution set. Write the solution set using interval notation. a) |x- 4|< 3 b) |x+5|28

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section1.3: Properties Of Numbers
Problem 56HP
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3. For each algebraic statement below, use a geometric interpretation to help you sketch the graph of all x-values that satisfy the given inequality/equation. Then, use your graph to write the solution set. Write the solution set using interval notation. a) |x – 4|<3 b) |x+5|28 c) |x- 7|= 12 d) |x-8|#3 -.html 2.1.pdf
Transcribed Image Text:3. For each algebraic statement below, use a geometric interpretation to help you sketch the graph of all x-values that satisfy the given inequality/equation. Then, use your graph to write the solution set. Write the solution set using interval notation. a) |x – 4|<3 b) |x+5|28 c) |x- 7|= 12 d) |x-8|#3 -.html 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 Еxamples: 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 nl 2.1.pdf
Transcribed Image Text: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 Еxamples: 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 nl 2.1.pdf
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