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)