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.