# Math - Intersection of Two Sets

by LeeAnn
(Marysville, Ohio)

when is the intersection of two sets equal to the null set?

### Comments for Math - Intersection of Two Sets

 Aug 28, 2011 Intersection of Two Sets by: Staff The question: by LeeAnn (Marysville, Ohio) when is the intersection of two sets equal to the null set? The answer: The set formed by the intersection of two sets contains those elements which appear in both sets. For example: Set A = {rock, horseshoe, glasses, lamp, book} Set B = {computer, dishes, speaker, lamp, book} . . . Both Set "A" and Set "B" contain the following elements: lamp, book The intersection of Set “A” and Set “B” is the set which contains two elements: lamp and book. A ∩ B = {lamp, book} When sets have no elements in common, they are called disjoint sets. The intersection of disjoint sets produces a null set. For example: Set C = {rock, horseshoe, glasses, lamp, book} Set D = {computer, dishes, speaker, whale, ship} . . . The Intersection of Set "C" and Set "D" produces an EMPTY SET (a NULL Set). Set "C" and Set "D" have no elements in common with one another. C ∩ D = {} C ∩ D = Ø Thanks for writing. Staff www.solving-math-problems.com