Signum function

Algebra Level 1

\[\large \displaystyle\sum_{x=-50}^{50} \mathrm {sgn(x)} = \ ? \]

Clarification: \(\mathrm {sgn(x)} = \begin{cases} {1 \quad , \quad x > 0} \\ {-1 \quad , \quad x < 0} \\ {0 \quad , \quad x =0} \end{cases} \).

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