How can I do that?

Question

U={1,2,3,4,5,6,7,8}

A= {1,2,6,8}

B= {1,2,3,4,5,7}

C={3,5}

D{5,6,7,8}

1.¬ ( A U B ) - ( C - B )

4. ( A U B ) ∩ ¬D

2. ( ¬B ∆ ¬A ) - C

5. ( A ∩ D ) - ( C - B )

3. ( A - D ) U ( B ∩ ¬C )

Answer 1

1) A u b = (1,2,3,4,5,6,7,8}

(A u b)' = empty set

(c - b ) = empty set

empty set - empty set = empty set

4) A u B = {1,2,3,4,5,6,7,8}

D' = {1,2,3,4}

(A u b) intersec D' = {1,2,3,4}

2)

B' = {6,8}

A' = {3,4,5,7}

The symmetric difference of A' and B' is

{3,4,5,6,7,8}

Throwing away C gives {4,6,7,8}

5) (A intersect D) = {6,8}

C - B = empty set

(A intersect D) - (C-B) = {6,8}

3) (A - D) = {1,2}

C' = {1,2,4,6,7,8}

B intersect C' = {1,2,6,8}

{1,2,6,8}