Question

If U = {1, 2, 3, 4,5}, A = {2, 3, 4}, B = {1,4, 5}, then which of the following statements are true?

• A. $AUB\supset B$
• B. B – A = A’
• C. $(A\cup B{)}^{\prime }$= { }
• D. All of the above

Answer 1

The correct option is D

All of the above

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

$A\cup B$ = {1, 2, 3, 4, 5}

So A U B $\supset$ B is true

B – A = (1, 5} , A’ = {1, 5}

So, B – A = A’ is true

(A U B)’ = { } is true

So all the statements are true

Hence (D)