Ch.1 (Part I1I - Section 1.6) Homework Assignment 1. Given the following Premises Premise Premise Premise (vrVM)(SAI) Apply rules of inference to show that r is the conclusion. 2. Let c(x) denote "x is in this class," let b(x) be "x owns a blue convertible," and let t(x) be "x has gotten a speeding ticket." Given these premises C(John), b(John), Vx(r(x) t(x)), apply rules of inference to conclude 3x(c(x) At(x)) Class - My apologies for the error in the third premise.where instead of b.I version Vy(b(x) t(x)) 3. Let r(x) be "r is one of the five roommates listed," let d(x) be "x has taken a course in discrete mathematics," and let a(x) be "x can take a course in algorithms." Given these premises Vx(r(x) d (x)) and Vx(d(x) a(x)), apply rules of inference to conclude Vr(r(x) a (x)). Let y represent an arbitrary person