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Describe how you know if an inequality is an “and” or an “or” problem. (use -3 < x+5 < 8). Also, how do you know if an absolute...Asked by Anonymous
Describe how you know if an inequality is an “and” or an “or” problem. (use -3 < x+5 < 8). Also, how do you know if an absolute value question is an “and” or an “or” problem? Lastly, will you always have two solutions to an absolute value problem?
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Answered by
Steve
clearly the compound inequality is an <u>and</u> problem.
As for absolute value problems, think of the shape of the graph. It is a V shape. So, if |f(x)| < c, you have one interval, below the line y=c.
If |f(x)| > c, then you have the intervals outside the V, making it an <u>or</u> problem.
Of course, there may be other wrinkles, depending on the exact nature of f(x), but that's the idea.
As for absolute value problems, think of the shape of the graph. It is a V shape. So, if |f(x)| < c, you have one interval, below the line y=c.
If |f(x)| > c, then you have the intervals outside the V, making it an <u>or</u> problem.
Of course, there may be other wrinkles, depending on the exact nature of f(x), but that's the idea.
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