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Algebra
# Floor and Ceiling Functions

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\[ \large {\lfloor -3.2 \rfloor =\, ? } \]

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Mehul Arora**

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Rohit Udaiwal**

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\[\left\lfloor \left| \frac{2x-3}{4} \right| \right\rfloor = 5\]

What is the largest negative integer \(x\) that satisfies the equation above?

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Margaret Zheng**

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\[\large\left\lfloor \frac { x }{ 1! } \right\rfloor +\left\lfloor \frac { x }{ 2! } \right\rfloor +\left\lfloor \frac { x }{ 3! } \right\rfloor =224\]

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

Note: \(\lfloor x \rfloor\) means the greatest integer that is smaller or equal to \(x\).

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Trung Đặng Đoàn Đức**

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\[\Large{\lceil x^2 \rceil=\lfloor 2|x| \rfloor}\] How many integers satisfy the above equation?

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Hjalmar Orellana Soto**

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