Answer: a) A U B = {21, 23, 24, 25, 27, 29, 30, 31}
b) A ∩ C = {24, 30}
Step-by-step explanation:
A = {21, 24, 27, 30}
B = {21, 23, 25, 27, 29, 31}
C = {20, 22, 24, 26, 28, 30, 32}
I included 20 and 32 even though they are not strictly BETWEEN 20 & 32
A U B means the union of the two sets, which includes everything from both sets.
A U B = {21, 24, 27, 30} U {21, 23, 25, 27, 29, 31}
= {21, 23, 24, 25, 27, 29, 30, 31}
A ∩ C means the intersection of the sets - only those values that are in both sets.
A ∩ C = {21, 24, 27, 30} ∩ {20, 22, 24, 26, 28, 30, 32}
= {24, 30}