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# Absolute Value

Absolute value is a mathematician's way of judging numbers by their magnitude rather than their positive/negative value. It is the distance of the number from 0 on a number line.

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\[\Large \left| x-2 \right| = 2-x\]

Find the **largest** value of \(x\) that satisfies the equation above.

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Evan Glori**

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Evaluate

\[\frac{\sqrt{x^2}}{|x|} + 1,\]

where \(x\) is a non-zero real number.

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Aman Sharma**

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If \( n \) is an integer, then what is the least possible value of

\[ \left| 123 - 5n \right| ? \]

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Chung Kevin**

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Hemang Agarwal**

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\[\large 2=|x-2|+|x-4|\]

Find the solution set of the above equation.

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Ayush Sharma**

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