Question

If the sets A and B are as follows : A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, then

• A. A - B = {1, 2}
• B. B - A = {5}
• C. [(A - B) - (B - A)] $\cap$ A = {1, 2}
• D. [(A - B) - (B - A)] $\cup$ A = {3, 4}

Answer 1

Answer: (A)

A - B = {1, 2}

Answer 2

Given A = {1, 2, 3, 4}, B = {3, 4, 5, 6} $\therefore$ A - B = {1, 2} and B - A = {5, 6} and [(A - B) - (B - A)] $\cap$ A = [{1, 2} - {5, 6}] \cap {1, 2, 3, 4} = $\phi \, \, \cap$ {1, 2, 3, 4} = $\phi$