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

question 67

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)

---

Definitions:

Liver

Large, dark red internal organ that produces urea and bile, detoxifies the blood, stores glycogen, and produces the plasma proteins, among other functions.

Bovine Growth Hormone

A hormone naturally produced by cattle's pituitary glands, and its synthetic form is used to increase milk production.

Cows

Domesticated bovine animals, typically females, raised for their milk, meat, and as draft animals.

Fish

Aquatic vertebrate animals that live in water, breathe using gills, and typically have fins and scales.