Part $3(10$ points$)$

Consider the following sets within the universe $U$ of positive integers

less than $10$:

$A=\{1,4,7,8\}$

$B=\{3,5,7,8\}$

$C=\{1,2,5,8\}$

$D=\{2,5,6\}$

Perform the following operations and represent the result on a Venn

diagram:

Draw a single Venn Diagram for sets A$,$ B$,$ C$,$ and D$.$

Shade in the region representing $(AC)B.$

Write the Power Set for the compliment of $U-D.$

Write the set A X C

If $A=\{0,1\},$ write out the set $A^3$