Verified answer

Draw Two Circles.

A^c is everything outside of A, that is B and the universe U. B intersect U-A is really just B.

If you consider a Venn diagram with a square and two intersecting circles for A and B inside.(B ∩ A') is is everything inside the the square except the circle of A.So you are actually ignoring the whole circle of A and taking everything else.

Well, let's look at it the other way first. You want the collection of objects that *is* in B, but also *is not* in A (since A' = {everything that's not in A}).

In other words, ignore everything that's in A, and ignore everything that's in both A *and* B. The chunk of B that is left is what you're after.

That's a bit glib, but I hope it's helpful!

In a Venn diagram, (B ∩ A') is the region that is inside B but outside of A.

Lord bless you today!

(B ∩ A') = B - (A ∩ B)

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Ideas: Take the area of (A ∩ B) away from B.

A U B'