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Venn Diagram Practice Problems

Directions

Can you identify the portion of the diagram that represents each title
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$A$
venn diagram picture
Answer
$B$
venn diagram picture
Answer
$A'$
venn diagram picture
Answer
$ B' $
venn diagram picture
Answer
s

How do you solve unions?

$$A \cup B $$

Step 1

Shade in the first set , A , in 1 color and the second set, B , in another color.
set a only

Step 2

Since this problem involves the $ \cup $ or the union. Your answer is all of the areas that you shaded in.
a union b final
s

How about intersections?

$$A \cap B $$

Step 1

Shade in the first set , A , in 1 color and the second Set, Set B , in another color.
set a only

Step 2

Since this problem involves the $ \cap $ or the intersection. Your final answer is the area where the colors overlap.
a union b final
Problem 1) $ A' \cup B $

Step 1

Shade in the first set , A' , and the Set B in two different colors..
set a only

Step 2

Since this problem involves the $ \cup $ or the union. Your answer is all of the areas that you shaded in.
Problem 2) $ A \cap B' $

Step 1

Shade in the first set , A, and the Set B' in two different colors..
set a only

Step 2

Since this problem involves the $ \cap $ or the intersection. Your final answer is the area where the colors overlap.
a union b final
Problem 3) $ A \cup B' $

Step 1

Shade in the first set , A , and the Set B' in two different colors..
set a only

Step 2

Since this problem involves the $ \cup $ or the union. Your answer is all of the areas that you shaded in.
a union b final
Problem 4) $ (A \cup B)' $

Step 1

Shade the sets in two different colors.
set a only

Step 2

Since we want everything that is 'not' in A $ \cup $ B we actually want the area that is not shaded in.
not a or b
Problem 5) $ (A \cap B)' $

Step 1

Shade the sets in two different colors.
set a only

Step 2

Since we want everything that is 'not' in A $ \cap $ B we actually want the area that is not shaded in.
not a or b
Problem 6) $ A' \cap B' $

Step 1

Shade the sets in two different colors.
set a only

Step 2

Since we want everything that is 'not' ( A $ \cap $ B) we actually want the area that is not shaded in.
not a or b
Problem 7) $ A' \cup B' $

Step 1

Shade the sets in two different colors.
set a only

Step 2

Since this is the union of the two sets, we want to color in the areas.
not a or b
Problem 8) $ A' \cap B' $

Step 1

Shade the sets in two different colors.
set a only

Step 2

Since this the $\cap$, or intersection we want the area of overlap.
not a or b
Problem 9) $ A - B $

Step 1

Shade the sets in two different colors.
set a only

Step 2

Since this problem involves subtraction of B from A. You want the area of A that does not overlap with B.
not a or b
Problem 10) $ B - A $

Step 1

Shade the sets in two different colors.
set a only

Step 2

Since this problem involves subtraction of A from B. You want the area of b that does not overlap with A.
not a or b
s

Did you notice any interesting patterns up above

What is the difference between $ (A \cap B)' $ and $ A' \cup B' $ ?
Answer