A is a finite non-empty set. The domain for relation R is the power set of A.(Recall that the power set of A is the set of all subsets of A.) For X⊆ A and Y ⊆A, X is related to Y if X is a proper subsets of Y (i. e., X ⊆Y). Choose the description that accurately describes relation R. a. Symmetric and Reflexive
b. Anti-symmetric and Reflexive
c. Symmetric and Anti-reflexive
d. Anti-symmetric and Anti-reflexive

The answer is "Choice D"

Step-by-step explanation:

Determining the information:

For " " and "",   relates to when and has the same cardinality. therefore, R does not have reflective:

For every "", "" So, X  not proper subset of.  So, R does not havereflexive.

R does not have symmetry:

For every "" ,then, ""  is not true because not relate to .  So, R is not symmetric.

R does not have antisymmetric:

When relates to and is relate to , then "" and ""

Therefore, R is anti-symmetric.

2

step-by-step explanation: