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If $\text{A}$ and $\text{B}$ are two sets. A binary relation from set $\text{A}$ and set $\text{B}$ is any subset of the _____________ .

  1. Cartesian Product $\text{A} \times \text{B}$
  2. Union $\text{A} \cup \text{B}$
  3. Intersection $\text{A} \cap \text{B}$
  4. Addition  $\text{A} + \text{B}$

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Binary Relation describes a relationship between the elements of 2 sets. If A and B are sets, then a binary relation R from A to B is a subset of the CARTISIAN PRODUCT of A and B (A x B).

 

Example: Let A = {1, 2, 3} and B = {4, 5, 6}. Let R be a binary relation from A to B as follows:

given any (x, y)  A x B,        (x, y)  R  y/x  Z

ANSWER A

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