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MathNet 2010 — Part 01 Question 165

Math Olympiad Vault · MathNet 2010 — Part 01

Question 165

The absolute value $|a|$ of any number $a$ is set by $$
|a|=\left\{\begin{array}{cl}
a & \text{ if } a\gt 0 \\
0 & \text{ if } a=0 \\
-a & \text{ if } a\lt 0
\end{array}\right.
$$ for example, $|6|=6$, $|-4|=4$ and $|0|=0$. how much is $N=|5|+|3-8|-|-4|$ worth?
(a) 4
(b) -4
(c) 14
(d) -14
(e) 6