Question

A = {x:x E N , x is a factor of 30} and,
B={x:xE N, x is a
ptime factor of 30}
show that (AUB) - (AnB) = (A-B) U (B-A)​

Answer 1

Answer:

A = {1, 2, 3, 5, 6, 10, 15, 30}

B = {2, 3, 5}

AUB = {1, 2 3, 5, 6, 10, 15, 30}

AnB = {2, 3, 5}

so, (AUB) - (AnB) = {1, 6, 10, 15, 30}.............[1]

Now, A - B = {1, 6, 10, 15, 30}

B - A = { }

Hence, (A - B) U (B - A) = {1, 6, 10, 15 30}..........[2]

Hence, from [1] and [2],

Proved