What Is A Symmetric Difference B?

What does a ∆ B mean?

A∆B which is called the symmetric difference between A and B is defined as (A-B)U(B-A).

Now, A-B is the set of all elements which are in A but not in B.

So, A – B = {1,2}.

Similarly, B-A is the set of all elements which are in B but not in A..

What is symmetric set?

From Wikipedia, the free encyclopedia. In mathematics, a nonempty subset S of a group G is said to be symmetric if S = S -1. where S -1 = { s -1 : s ∈ S}. In other words, S is symmetric if s -1 ∈ S whenever s ∈ S.

What is the product of two sets?

Answer: The Cartesian product of sets refers to the product of two non-empty sets in an ordered way. Or, in other words, the assortment of all ordered pairs attained by the product of two non-empty sets. An ordered pair basically means that two elements are taken from each set.

What is the difference between two sets?

The difference of two sets, written A – B is the set of all elements of A that are not elements of B. The difference operation, along with union and intersection, is an important and fundamental set theory operation.

How do you find the symmetric difference?

The symmetric difference of two sets A and B is the set (A – B) ∪ (B – A) and is denoted by A △ B. The shaded part of the given Venn diagram represents A △ B. A △ B is the set of all those elements which belongs either to A or to B but not to both.

What is the difference between difference and symmetric difference?

Difference: Elements present on one set, but not on the other. Symmetric Difference: Elements from both sets, that are not present on the other.