Use Venn Diagrams to Determine Which of the Following Identities $( B \cup D ) \cap G = ( B \cup D ) \cap G$

Multiple Choice

Use Venn Diagrams to determine which of the following identities are true for the subsets B, D, and G of T.

A) $( B \cup D ) \cap G = ( B \cup D ) \cap G$ (Associative Law) , and $B \cup ( D \cap G ) = ( B \cap G ) \cup ( D \cap G )$ (Distributive law)
B) $( B \cup D ) ^ { \prime } = B ^ { \prime } \cap G ^ { \prime }$ (De Morgan's law) , and $( B \cap D ) \cap G = B \cap ( D \cap G )$ (Associative Law)
C) $( B \cap D ) ^ { \prime } = B ^ { \prime } \cup D ^ { \prime }$ (De Morgan's law) , and $( B \cup D ) \cup T = B \cup ( D \cup T )$ (Associative Law)
D) $( B \cap D ) ^ { \prime } = B ^ { \prime } \cap D ^ { \prime }$ (De Morgan's law) , and $B \cup ( D \cap T ) = ( B \cap T ) \cup ( B \cap T )$ (Distributive law)
E) $B \cup ( D \cap G ) = ( B \cap G ) \cup ( B \cap G )$ (Distributive law) , and $( B \cap D ) ^ { \prime } = B ^ { \prime } \cup D ^ { \prime }$ (De Morgan's law)