Why It Matters: Linear Inequalities
Why learn about linear inequalities?
Previously, we introduced Widmark's formula for calculating blood alcohol content:
where
- B = percentage of BAC
- t = number of hours since the first drink
- N = number of “standard drinks” (a standard drink is one -ounce beer, one -ounce glass of wine, or one -ounce shot of liquor). N should be at least .
- W = weight in pounds
- g = gender constant: for men and for women
Remember Joan? When we left her, she was at a party. She had three drinks and then wanted to leave. This was worrisome. We posed the following questions:
- Where would she fall on the table of the progressive effects of alcohol after hours?
- Would she be within the legal limit to drive after this amount of time?
- Given any amount that she drinks, can you figure out how much time should pass before she can drive safely and legally?
Progressive effects of alcohol | ||
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BAC (% by vol.) | Behavior | Impairment |
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Learning Objectives
By the end of this Module, you will be able to:- Use interval notation to describe inequalities and solutions to inequalities
- Use properties of inequalities to solve inequalities
- Solve inequalities in one variable algebraically
- Solve absolute value inequalities
- Graph linear inequalities