Question

I'm desperate. I need all of them answered

Answer 1

a. A' means the complement with respect to Z? If so, then

To know A' you need to write all the elements in Z that are not in A.

$A'= \{ u, v, w, x, y, z\}$

b. All the subsets of B, is knowed as P(B),

$P(B) = \{ \emptyset, \{w\}, \{x\}, \{y\}, \{w,x\}, \{w,y\}, \{x,y\}, B \}$

c. $A \cup B = \{a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t, w,x,y \}$ (Add to A the elements of B, or equivalently add to B the elements of A)

d. $A \cap B$  express informally speaking the elements that have in common, but there is no element in common, so

$A \cap B = \emptyset$