Problem 5 Solving the Absolute Value Inequality
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A
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≥
b
vertical line eh vertical line greater than or equal to b
What is the solution of
Think
How do you determine the boundary points?
To find the boundary points, find the solutions of the related equation.
✓ Got It?
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- What is the solution of
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Reasoning Without solving
- What is the solution of
Take Note Concept Summary: Solutions of Absolute Value Statements
| Symbols | Definition | Graph |
|---|---|---|
| |x| = a | The distance from x to 0 is a units. |
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( |
The distance from x to 0 is less than a units. |
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( |
The distance from x to 0 is greater than a units. |
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A manufactured item's actual measurements and its target measurements can differ by a certain amount, called tolerance. Tolerance is one half the difference of the maximum and minimum acceptable values. You can use absolute value inequalities to describe tolerance.
Table of Contents
- 5-1 Polynomial Functions
- 5-2 Polynomials, Linear Factors, and Zeros
- 5-3 Solving Polynomial Equations
- 5-4 Dividing Polynomials
- 5-5 Theorems About Roots of Polynomial Equations
- 5-6 The Fundamental Theorem of Algebra
- 5-7 The Binomial Theorem
- 5-8 Polynomial Models in the Real World
- 5-9 Transforming Polynomial Functions