Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

make sure you clearly indicate what a symbol stands for. Let . Prove that, for e

ID: 3076750 • Letter: M

Question

make sure you clearly indicate what a symbol stands for. Let . Prove that, for each , there is a rational number rn such that For each of the sets below find the supremum and the infimum if they exist. If they exist prove that they are indeed the sup and inf. If they do not, justify why they do , not. Prove that if b is a lower bound of a set and , then b is the infimum of E. Let A and B be nonempty subsets of R. Prove that if A and B have suprema, then has a supremum and Prove the following statements by induction for n = 1,2,... is a multiple of 6 for n = 1,2,.... for n = 4,5,....

Explanation / Answer

A) We know that (x+1)(x-2)(x-3) = 0 at x=-1, x=2, and x = 3 That means we need to examine the intervals (-inf, -1) (-1, 2) (2,3) and (3, inf) When x