Online Complement of Set Tutor & Homework Help
Complement of Set Tutoring Online, Tutor Help With Complement of Set:
COMPLIMENT OF A SET:
Let A be a set. Then the compliment of set A is a set of all elements in the universal
set which are not in A.
The compliment of set A is denoted by A’. Then from the above definition we can
write,
A’ = U – A
The Venn diagram for A’ is given below:
A’ = U – A
The Venn diagram for A’ is given below:
The shaded area outside A is the compliment of A ( A’).
For example:
If U = {2, 3, 4, 7, 9, 10, 11, 13} and A = {3, 4, 9, 10}
Then
The Venn diagram for the above example is:
For example:
If U = {2, 3, 4, 7, 9, 10, 11, 13} and A = {3, 4, 9, 10}
Then
| Compliment of A = A’ | = U - A |
| = {2, 3, 4, 7, 9, 10, 11, 13} – {3, 4, 9, 10} | |
| = {2, 7, 11, 13} |
The Venn diagram for the above example is:
Hence Compliment of A = A’ = {2, 7, 11, 13} which is the shaded area.
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