Given U = {22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32}, A = {22, 24, 26, 28, 30}, and B = {23, 24, 25, 28, 29}.

Find A′ ∩ B′. Do not skip to the answer. Show your work, finding A’, then B’ then find their intersection.

Question

Given U = {22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32}, A = {22, 24, 26, 28, 30}, and B = {23, 24, 25, 28, 29}. 

Find A′ ∩ B′. Do not skip to the answer. Show your work, finding A’, then B’ then find their intersection.

anonymous · Answer

Define A'.  Are you asking about the intersection of the complements?

anonymous · Answer

yes

anonymous · Answer

So first, write out $$A ^{c}$$.  This by the way is the notation for A complement or "the complement of A."  The complement of a set is all of the values of the universe (of which A is only a portion of) that are NOT in A.  In your notation, you can also express this as U\A.

$$A ^{c}=\left\{ 23,25,27,29,31,32 \right\}$$
$$B^{c}=\left\{ 22, 26,27,30,31,32 \right\}$$
$$A^{c} intersect B^{c} $$ is simply the set of numbers that the complements (above) have in common.

anonymous · Answer

I really appreciate your help....thanks

anonymous · Answer

No problem