2.1: For each relation below, explain why the relation does or does not satisfy each of the properties reflexive, symmetric, antisymmetric, and transitive. (a)."isBrotherOf" on the set of people. (c). The relation R-CxYI x4:) for x and y real numbers. (d). The relation R (x.y>l x2 - y2) for x and y real numbers. 2.34: (a) Explain the following recurrence to help you find a closed- form solution, and then (b) use induction to prove your answer is correct. T(n)-2T(n-1)+1; T(O)-0