Question

If A = [ 0, 3 ] , B = [ 2, 6 ] , then find
A ∪ B,
A ∩ B,
A – B,
A'
. Also write your answer in set – builder form. Also represent the solution on number line​

Answer 1

Answer:

U = {1,2,3,4,5,6}

A = {2,3}

B = {3,4,5}

A∪B={2,3} ∪ {3,4,5} = {2,3,4,5}

Therefore, (A∪B)

′

= {1,6}

Also, A

′

= {1,4,5,6}

B

′

= {1,2,6}

Therefore, A

′

∩B

′

= {1,4,5,6} ∩ {1,2,6} = {1,6}

Hence, (A∪B)

′

=A

′

∩B

′

.