We have the following universal set given:
U={a, b, c, d, e, f, g}
And we have the following two sets given:
A = {a, c, e, g} B = {a, b, c, d}
We are trying to find: A' ∩ B'
Step 1
We need to find A'
A' means all the elements of U that are not in A and we got:
A'= [b,d,f]
Step 2
We need to find B'
B' means all the elements of U that are not in B and we got:
B'= [e,f,g]
Step 3
Now we just need to find the intersection between A' and B' who means the elements that are on both sets and we got:
Answer
A' ∩ B'=[f]