SAT1000 - P866

Algebra Level 3

For all real numbers xx and yy, which of the following options is always true?

A. x=xA.\ \lfloor -x \rfloor=-\lfloor x \rfloor

B. 2x=2xB.\ \lfloor 2x \rfloor=2\lfloor x \rfloor

C. x+yx+yC.\ \lfloor x+y \rfloor \leq \lfloor x \rfloor + \lfloor y \rfloor

D. xyxyD.\ \lfloor x-y \rfloor \leq \lfloor x \rfloor - \lfloor y \rfloor


Have a look at my problem set: SAT 1000 problems

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