Try to find an axiomatization for each of the following classes of structures.If you can find one, write it down explicitly (you don’t need to prove that your axiomatization works). If you cannot find an axiomatization, just write that you don’t think it’s axiomatizable. (iii) Cycle graphs, i.e. undirected graphs that look like an undirected cycle of some length. (iv) Acyclic graphs, i.e. undirected graphs that do not contain any cycle. *A cycle graph is an undirected graph G := (V ,EG) such that V = {v0,v1,...vn} for some n, where v1,...,vn are pairwise distinct, v0 = vn, and EG = {(vi,vi+1),(vi+1,vi) : 0 ⩽ i < n}.

Q: For all sets A and B, determine whether each of the statement is true or false.

A: For the given problem(a)  to check it is true or false.For this part we use the counter example to…

Q: f) Is the relation R, defined on the set of real numbers by xRy if 2x + y = 3. antisymmetric? g) Is…

A: Use the definition of antisymmetric to check whether the given relation is antisymmetric or not.…

Q: Use the graph below to answer the following questions:

A:

Q: [16] 1. Represent each pair of sets A and B on a number line, then find AUB and An B in interval…

A:

Q: 2. Sketch the graphs of all three relations on the same set of axes. Label the x-intercepts, vertex,…

A: For a given quadratic function, graph will have a vertex at the point where slope is zero.  Also…

Class

Object Oriented Programming System (OOPs) is a programming model built on the perception of “objects” that contains data and methods. The major purpose of Object Oriented Programming is to increase the maintainability and flexibility of programs. Object Oriented Programming gets together data and its behavior (methods) in a single location (object) which makes it easier to understand.