Question

let u=(4, 8,12,16,20,24,28) A=(8, 16,24) B=(4, 16,20,28) find (AUB) ' AND (A n B)' ​

Answer 1

Answer:

The given sets are U={4,8,12,16,20,24,28}, A={8,16,24} and B={4,16,20,28}

We know that the complement of set A is A

′

=U−A.

Consider the following:

(A∩B)

′

=U−(A∩B)={4,8,12,16,20,24,28}−[{8,16,24}∩{4,16,20,28}]

={4,8,12,16,20,24,28}−{16}={4,8,12,20,24,28}......(1)

A

′

∪B

′

=[U−A]∪[U−B]=[{4,8,12,16,20,24,28}−{8,16,24}]∪[{4,8,12,16,20,24,28}−{4,16,20,28}]

={4,12,20,28}∩{8,12,24}={4,8,12,20,24,28}......(2)

From equations 1 and 2, we get that (A∩B)

′

=A

′

∪B

′

.

.

Hence, (A∩B)

′

=A

′

∪B

′

Step-by-step explanation:

plzz mark as a brainlist.