Question

Let U = {t,u,v,w.x,y,z). A = {w.y}, B = {v,w}, C = {t.x.v}, and D = {v.z.x.t,w}. Tell whether the statement below is true or false. U is the universal set.

Answer 1

Given

Let U = {t,u,v,w.x,y,z). A = {w.y}, B = {v,w}, C = {t.x.v}, and D = {v.z.x.t,w}. Tell whether the statement below is true or false. U is the universal set.

Solution

A universal set (usually denoted by U) is a set which has elements of all the related sets, without any repetition of elements.Say if A and B are two sets, such as A = {1,2,3} and B = {1,a,b,c}, then the universal set associated with these two sets is given by U = {1,2,3,a,b,c}.

Since, set A, Set B, Set C and Set D are subset of Set U

Therfore, it is true Set