The number of discontinuities of the greatest integer function $f(x)=[x]$, $x\in(-\frac{7}{2},100)$
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Logic Tip: The number of integers in an inclusive range $[m, n]$ is calculated as $(n - m) + 1$. Here, the range of valid integers is $[-3, 99]$. Applying the formula yields $(99 - (-3)) + 1 = 102 + 1 = 103$.