Answer:
A = {1, 3, 5, 6, 7, 8, 9}
B = {2, 3, 6, 9, 10}
Step-by-step explanation:
Here as given in the question:
A – B = {1, 5, 7, 8} ⇒ {1, 5, 7, 8} is in A not in B.
B – A = {2, 10} ⇒ {2, 10} is in B not in A
A ∩ B = {3, 6, 9} ⇒ {3, 6, 9} is BOTH in A and B.
Step 1:
Set A can also be expressed as : A = (A - B) ∪ (A ∩ B)
Set A can also be expressed as : B = (B - A) ∪ (A ∩ B)
Step 2:
Substituting the values of (A - B) and (B - A)
A = {1, 5, 7, 8} ∪ {3, 6, 9}
B = {2, 10} ∪ {3, 6, 9}.
Step 3:
Finding the UNION of the above two sets, we get:
A = {1, 3, 5, 6, 7, 8, 9}
B = {2, 3, 6, 9, 10}
