## 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.