Let x = {a,b,c} and P(x) be the power set of x. A relation R is...

 

Transcribed Image Text:

Let x = {a,b,c} and P(x) be the power set of x. A relation R is defined on P(x) as follows: For all A, B = P(x), ARB the number of elements in A is not equal to the number of elements in B. [Note: recall a convenient notation for "number of elements in A " is n(A).] Is R reflexive? Symmetric? Transitive? Prove if yes, give a counterexample if no. (6 pt) Let x = {a,b,c} and P(x) be the power set of x. A relation R is defined on P(x) as follows: For all A, B = P(x), ARB the number of elements in A is not equal to the number of elements in B. [Note: recall a convenient notation for "number of elements in A " is n(A).] Is R reflexive? Symmetric? Transitive? Prove if yes, give a counterexample if no. (6 pt)

Answer rating: 100% (QA)

To determine whether the relation R on the power set Px is reflexive symmetric and transitive lets analyze each property individually Reflexive A rela... View the full answer