Consider the following subsets of a standard English dictionary:

Consider the following subsets of a standard English dictionary:

A = {x|x is a word that appears before dog in a English language dictionary}  

B = {x|x is a word that appears after cat}

C = {x|x is a word containing two identical consecutive letters}

Determine the truth value of the following statements. Explain each answer.

a. C ⊂ A ∪ B

b. aardvark ∈ (¬ B ) ∩ C

c. A ∩ B = ∅

d. Moose ∈ B ∆ C 

Describe in words the elements of the following sets.

e. A ∩ B ∩ C

f. (A ∪ B) ∩ (¬C)