Suppose that fl(y) is a k-digil rounding approximation to y. Show that y - fKy) y < 0.5 x io-*+1 . \Hint: Ifr4+i < 5, then fl(y) = 0.d\d2... 4 x 10". If dk+\ > 5, then fl(y) = Q.d\d2... x 10" + JO"- *.]

Section 1.1 — Propositions Friday, August 25, 20175:27 PM Definition 1: A proposition is a statementthat declares or claimssomethingthat is eithertrue or false,and in theory there is a way to determinewhetherit is true or false. Example 1: Are the following statements propositionsIf they are, what is their truth value" 1. "The capitalof Michiganis Lansing." (Yes, T). 2. "1 + 1 = 3" (Yes, F). 3. "x + 2 = 5" (No, becausex is not specified). 4. "What time is it" (No, it is not claimingsomething). Definition 2: Let p be a proposition.The negationof p,, is the statement:"It's not the casethat p." has the oppositetruth value of p. Negation Truth Table: p T F F T Example 2: Find the negation in the following statement.