Explore BrainMass

A Family of Sets and the Empty Set

This content was STOLEN from BrainMass.com - View the original, and get the solution, here!

Let A be a family of sets, and suppose the empty set is an element of A. Prove that a = the empty set if a is an element of the family of A.

See the attached file.

© BrainMass Inc. brainmass.com September 25, 2018, 9:05 pm ad1c9bdddf - https://brainmass.com/math/discrete-math/family-sets-empty-set-179744


Solution Preview

Please see the attached file.

(Please show each step of your ...

Solution Summary

This solution proves the relation knowing the definition of an intersection and the fact that an empty set is a subset of any set, formatted in an attached Word document.