Question

If U = {1, 2, 3, 4, 5, 6}, A = {2, 3} and B = {3, 4, 5}, then (A ∪ B) ' =

• A. {2, 6}
• B. {3, 6}
• C. {1, 6}

Answer 1

The correct option is C {1, 6}

Given,
U = {1, 2, 3, 4, 5, 6}
A = {2, 3}
B = {3, 4, 5}

Now,
A ^' = {1, 4, 5, 6}
B ^' = {1, 2, 6}

$\therefore$ A ^' ∩ B ^' = {1, 4, 5, 6} ∩ {1, 2, 6}
= {1, 6}
According to Demorgan's Law,
A ' ∩ B ' = (A U B) '