|
Definition:Given a SeT S, a SeT T is a SubSet of S if, for all x belonging to T, x belongs to S. |
|
Definition: Given a SeT S, a SeT T is a SubSet of S if, for all x belonging to T, x belongs to S. |
|
T is a SubSet of S <-> T is contained in S |
|
T is a SubSet of S <-> T is contained in S |
|
Example: Given the SeT of Complex Numbers: C = {a+bi: a, b belong to R, the real numbers}, then R = {x: x is a real number} is a SubSet of C. |
|
Example: Given the SeT of Complex Numbers: C = {a+bi: a, b belong to R, the real numbers}, then R = {x: x is a real number} is a SubSet of C. |
|
This is true because any x in R can be represented as x+0i. |
|
This is true because any x in R can be represented as x+0i. |
T is a SubSet of S <-> T is contained in S
Example: Given the SeT of Complex Numbers: C = {a+bi: a, b belong to R, the real numbers}, then R = {x: x is a real number} is a SubSet of C.
This is true because any x in R can be represented as x+0i.
![[Home]](wikipedia.png)