Rewrite the expression without using the absolute value symbol.

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

|4 - pi|

(Doh)

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

Quote:

Originally Posted by

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

|4 - pi|

$\displaystyle 4>\pi$ so $\displaystyle 4-\pi>0$ thus $\displaystyle |4-\pi|=~?$

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.

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

Quote:

Originally Posted by

**joshuaa** 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 $\displaystyle a>0$ then $\displaystyle |a|=a~.$

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| = ?

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

Quote:

Originally Posted by

**joshuaa** What if want the answer, but we do not know the value of X, like this? |4 - X| = ?

This may surprise you, but $\displaystyle |4-x|=|x-4|$.

So $\displaystyle \left| {x - 4} \right| = \left\{ {\begin{array}{rl} {x - 4,} & {x \ge 4} \\ {4 - x,} & {x < 4} \\\end{array}} \right.$

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(Hi)