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Math Help - Write An Absolute Value Inequality

  1. #1
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    Write An Absolute Value Inequality

    The average price of a particular brand of shampoo is $3.26. Depending on where you shop, the price may vary by as much as $0.25. Write an absolute value inequality describing the possible prices of the shampoo. Solve the inequality.
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  2. #2
    A riddle wrapped in an enigma
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    Quote Originally Posted by magentarita View Post
    The average price of a particular brand of shampoo is $3.26. Depending on where you shop, the price may vary by as much as $0.25. Write an absolute value inequality describing the possible prices of the shampoo. Solve the inequality.
    Hello magentarita,

    I believe this will get you what you want:

    |3.26-x| \leq .25

    -.25 \leq 3.26-x \leq .25

    If you work this inequality out, you'll find the result to be:

    3.01 \leq x \leq 3.51
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  3. #3
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    ok...

    Quote Originally Posted by masters View Post
    Hello magentarita,

    I believe this will get you what you want:

    |3.26-x| \leq .25

    -.25 \leq 3.26-x \leq .25

    If you work this inequality out, you'll find the result to be:

    3.01 \leq x \leq 3.51
    I can solve the inequality as you have it but creating the inequality from the given data in word problems is not an easy road.
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