Homework-M4T1 Reals Math 1166 Discrete Mathematics 1. [2 points] Prove this existence statement by finding an example of such r: 3r E R such that r > 1 and 27 > z10 2. [4 points] Is 4.616161 . .. a rational number? If so, write it as the quotient of two integers. 3. [4 points] Consider the definitions: . The floor of a real number [ r] is the unique integer, n, such that n Er