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Math Help - Answer to the form ax + b

  1. #1
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    Answer to the form ax + b

    Please help
    Simplify to an answer in the form of ax + b for x in [3,5].
    <br />
|x-2| - 4 |x-6|<br />
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  2. #2
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    For all x \in [3, 5], x - 2 is positive and x - 6 is negative.

    Thus, for all x \in [3, 5], |x - 2| = x - 2 and |x - 6| = 6 - x.
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  3. #3
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    Quote Originally Posted by BadMaterial View Post
    Please help
    Simplify to an answer in the form of ax + b for x in [3,5].
    <br />
|x-2| - 4 |x-6|<br />
    |x-2| = (x-2) because (x-2)>0 for x\in[3,5].

    |x-6| = -(x-6) because (x-6)<0 for x\in[3,5].

    Use these properties:

    |x-2| - 4 |x-6| = (x-2)-4(-(x-6))

    I'll leave the rest for you.
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