Final answer:
D ∪ F represents the union of whole numbers and even numbers between 10 and 20. D ∩ F represents the intersection of whole numbers and even numbers between 10 and 20. D ∩ E represents the intersection of whole numbers and perfect squares between 49 and 100. E ∩ F represents the intersection of perfect squares between 49 and 100 and even numbers between 10 and 20. D ∩ (E ∪ F) represents the intersection of whole numbers and either perfect squares between 49 and 100 or even numbers between 10 and 20.
Step-by-step explanation:
The expression D ∪ F means the union of sets D and F. In other words, it represents all the numbers that are either whole numbers or even numbers between 10 and 20.
The expression D ∩ F means the intersection of sets D and F. It represents the numbers that are both whole numbers and even numbers between 10 and 20.
The expression D ∩ E means the intersection of sets D and E. It represents the numbers that are both whole numbers and perfect squares between 49 and 100.
The expression E ∩ F means the intersection of sets E and F. It represents the numbers that are both perfect squares between 49 and 100 and even numbers between 10 and 20.
The expression D ∩ (E ∪ F) means the intersection of set D and the union of sets E and F. It represents the numbers that are both whole numbers and either perfect squares between 49 and 100 or even numbers between 10 and 20.