(a) For all real numbers a and b, a b a b (b) For all real numbers a and b, lfloor a floor lfloor b floor lfloor a b floor (c) If f(x) and g(x) are linear functions, then f(g(x)) is a linear function

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(a) For all real numbers a and b,  a   b     a     b   (b) For all real numbers a and b,  lfloor a floor    lfloor b floor    lfloor a   b floor  (c) If f(x) and g(x) are linear functions, then f(g(x)) is a linear function

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Question: (a) For all real numbers a and b, |a + b| = |a| + |b|. (b) For all real numbers a and b, lfloor a

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