# Venn Diagram Practice Problems

## Directions

Can you identify the portion of the diagram that represents each title
 Reset All
$A$
$B$
$A'$
$B'$

# 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.

### Step 2

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

$$A \cap B$$

### Step 1

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

### Step 2

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

### Step 1

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

### 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..

### Step 2

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

### Step 1

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

### Step 2

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

### Step 1

Shade the sets in two different colors.

### Step 2

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

### Step 1

Shade the sets in two different colors.

### Step 2

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

### Step 1

Shade the sets in two different colors.

### Step 2

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

### Step 1

Shade the sets in two different colors.

### Step 2

Since this is the union of the two sets, we want to color in the areas.
Problem 8) $A' \cap B'$

### Step 1

Shade the sets in two different colors.

### Step 2

Since this the $\cap$, or intersection we want the area of overlap.
Problem 9) $A - B$

### Step 1

Shade the sets in two different colors.

### Step 2

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

### Step 1

Shade the sets in two different colors.

### Step 2

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

# Did you notice any interesting patterns up above

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