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For all real numbers xxx and yyy, which of the following options is always true?
A. ⌊−x⌋=−⌊x⌋A.\ \lfloor -x \rfloor=-\lfloor x \rfloorA. ⌊−x⌋=−⌊x⌋
B. ⌊2x⌋=2⌊x⌋B.\ \lfloor 2x \rfloor=2\lfloor x \rfloorB. ⌊2x⌋=2⌊x⌋
C. ⌊x+y⌋≤⌊x⌋+⌊y⌋C.\ \lfloor x+y \rfloor \leq \lfloor x \rfloor + \lfloor y \rfloor C. ⌊x+y⌋≤⌊x⌋+⌊y⌋
D. ⌊x−y⌋≤⌊x⌋−⌊y⌋D.\ \lfloor x-y \rfloor \leq \lfloor x \rfloor - \lfloor y \rfloor D. ⌊x−y⌋≤⌊x⌋−⌊y⌋
Have a look at my problem set: SAT 1000 problems
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