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What is ⌊46⌋?\left\lfloor\sqrt{46}\right\rfloor?⌊46⌋?
Which of the following statements is/are true?
I. ⌊x+n⌋=⌊x⌋+n\lfloor x+n\rfloor=\lfloor x\rfloor+n⌊x+n⌋=⌊x⌋+n for any real xxx and any integer n.n.n. II. ⌊x⌋+⌊−x⌋=0\lfloor x\rfloor+\lfloor-x\rfloor=0⌊x⌋+⌊−x⌋=0 if and only if xxx is an integer. III. ⌊x⌋+⌊y⌋≤⌊x+y⌋≤⌊x⌋+⌊y⌋+1\lfloor x\rfloor+\lfloor y\rfloor\le\lfloor x+y\rfloor\le\lfloor x\rfloor+\lfloor y\rfloor+1⌊x⌋+⌊y⌋≤⌊x+y⌋≤⌊x⌋+⌊y⌋+1 for any real xxx and y.y.y.
What is the solution set to ⌊x2⌋=4?\left\lfloor \frac{x}{2}\right\rfloor=4?⌊2x⌋=4?
How many integers xxx satisfy the equation ⌊x⌋=3?\lfloor\sqrt{x}\rfloor=3?⌊x⌋=3?
What is ⌊π⌋?\lfloor \pi \rfloor?⌊π⌋?
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