6. Given a real number x, the floor of x, denoted lx], is the unique integer that satisfies In words, the floor of z is the largest integer less than or equal to r. (a) Compute each of the following: 13.6, 0.01j, -02] +1.1J (b) Let n be an integer. Prove that L :J : (c) Let n be an integer. Prove that 2if n is even, ifnis odd. L2J 2 (d) Let x be a real number. Prove that if x is not an integer then 1x1+ L-r--1