Provide an Appropriate Response $[ ( \operatorname { aff } A ) \cup ( \operatorname { aff } B ) ] \subset ( A \cup B )$

Multiple Choice

Provide an appropriate response.
- $[ ( \operatorname { aff } A ) \cup ( \operatorname { aff } B ) ] \subset ( A \cup B )$
What property must the set $( A \cup B )$ have if the above statement is true?

A) There is nothing special about $( \mathrm { A } \cup \mathrm { B } )$ . The statement is always true.
B) $( A \cup B )$ must contain collinear points.
C) $\mathrm { A } \subset \mathrm { B }$ so that $( \mathrm { A } \cup \mathrm { B } ) = \mathrm { A }$ .
D) $( A \cup B )$ has to be affine.