Question

5)
If A = {1, 2, 3, 4), B = {3,4,5,6},
C = {4, 5, 6, 7, 8) and universal set
X = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10), then verify
the following 1 . (AUB)' = (AnB)'​

Answer 1

Answer:

By the information provided

(AUB)' ≠ (AnB)'

Step-by-step explanation:

If A = {1, 2, 3, 4), B = {3,4,5,6},

C = {4, 5, 6, 7, 8) and universal set

X = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10)

As we know that union of two sets is given by

1) (AUB)={1, 2, 3, 4, 5,6}

(AUB)' is the complement of (AUB),it is given by

(AUB)'={7,8,9,10}....eq1

2) (A n B)= {3,4}

(AnB)'={1, 2, 5, 6, 7, 8, 9, 10}...eq2

eq1≠ eq2

*Note: please recheck your question.