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Math Help - Rewrite the expression without using the absolute value symbol.

  1. #1
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    Unhappy Rewrite the expression without using the absolute value symbol.

    Could you please help me solve this absolute value with explanation?

    |4 - pi|

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  2. #2
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    Re: Rewrite the expression without using the absolute value symbol.

    Quote Originally Posted by joshuaa View Post
    Could you please help me solve this absolute value with explanation?
    |4 - pi|
    4>\pi so 4-\pi>0 thus |4-\pi|=~?
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    Re: Rewrite the expression without using the absolute value symbol.

    I am not good in math, so I can not figure out the answer. Your explanation is good, but you need to give me the final answer.
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    Re: Rewrite the expression without using the absolute value symbol.

    Quote Originally Posted by joshuaa View Post
    I am not good in math, so I can not figure out the answer. Your explanation is good, but you need to give me the final answer.
    If a>0 then |a|=a~.
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    Re: Rewrite the expression without using the absolute value symbol.

    After a very long thinking, now I get it. The answer would be just 4 - pi. And if if we reverse the question like this |pi - 4|, pi - 4 will be less than zero. Therefore, the answer will be -(pi - 4) = 4 - pi.

    What if want the answer, but we do not know the value of X, like this?
    |4 - X| = ?
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    Re: Rewrite the expression without using the absolute value symbol.

    Quote Originally Posted by joshuaa View Post
    What if want the answer, but we do not know the value of X, like this? |4 - X| = ?
    This may surprise you, but |4-x|=|x-4|.

    So \left| {x - 4} \right| = \left\{ {\begin{array}{rl}   {x - 4,} & {x \ge 4}  \\   {4 - x,} & {x < 4}  \\\end{array}} \right.
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  7. #7
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    Talking Re: Rewrite the expression without using the absolute value symbol.

    I am not going to go deeper this time, but I have really understood what I was wondering about. Thank you very much, and I hope that we will be meeting in other questions
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