Answer: Required order is,
|427|
|-437|
|-467|
|517|
|-537|
Step-by-step explanation:
We know that,
[tex]|x|=\left\{\begin{matrix}x & \text{ if }x > 0\\ -x & \text{ if }x < 0\end{matrix}\right.[/tex]
Since, 427 > 0 and 517 > 0
Thus, |427| = 427 and |517| = 517
While, -437 < 0, -467 < 0 and -537 < 0
Thus, |-437| = -(-437) = 437
Similarly,
|-467| = 467 and |-537| = 537,
∵ 427 < 437 < 467 < 517 < 513
Hence, the required order is,
|427| < |-437| < |-467| < |517| < |-537|
