Empty Set
Related Words
Definition of Empty Set
An Empty Set is a set with no elements. It can be symbolized by {} or ø
The solution set for an equation that has no solution is also called an empty set.It is also called a null set.
Video Examples: The Empty Set or the Null Set , Intermediate Algebra
Example of Empty Set

A = {2, 6, 8} and B = {3, 5, 7}
Let C represent the intersection of the sets A and B.
C = {}, a null set, because there is no element common between the two sets.
Solved Example on Empty Set
Ques: Solve 6x  7 + 10 = 0.
Choices:
A. øB.  10
C.  1/2
D. { 1/2, 17/6}
Correct Answer: A
Solution:

Step 1: 6x  7 + 10 = 0
Step 2: 6x  7 =  10, which is never true. [Subtract 10 from each side.]
Step 3: So, the solution set is {} or a null set ø.
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