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If a and b are two sets, draw venn diagrams to verify the following.
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So for part a, we're going to show that a equals a intersect b, union, a intersect the complement of b.
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So let's start with a, which is a pretty easy one to show.
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A is just, oops, excuse me, i'm shading the wrong thing.
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A is just everything inside the circle of a shaded.
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So now for this second part to see equal.
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We have a and we have b.
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So a intersect b is going to be this part.
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So we'll go ahead and do this in green.
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It's going to be this part right here.
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And then we have a intersecting with a complement of b.
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So that's going to be that in blue, this part here.
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And then we want the union of them.
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So we get to put them together.
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And you can see that we have a shaded in blue...