### All Algebra II Resources

## Example Questions

### Example Question #1 : Number Sets

If , , and , then find the following set:

**Possible Answers:**

**Correct answer:**

The union is the set that contains all the numbers from and . Therefore the union is .

### Example Question #78 : Number Theory

If , , and , find the following set:

**Possible Answers:**

**Correct answer:**

The intersection is the set that contains only the numbers found in all three sets. Therefore the intersection is .

### Example Question #79 : Number Theory

If , , and , find the following set:

**Possible Answers:**

**Correct answer:**

The intersection is the set that contains the numbers that appear in both and . Therefore the intersection is .

### Example Question #2 : Number Sets

If , , and , find the following set:

**Possible Answers:**

**Correct answer:**

The intersection is the set that contains the numbers found in both sets. Therefore the intersection is .

### Example Question #3 : Number Sets

If , , and , find the following set:

**Possible Answers:**

**Correct answer:**

The union is the set that contains all of the numbers found in all three sets. Therefore the union is . You do not need to re-write the numbers that appear more than once.

### Example Question #3 : Number Sets

If , , and , find the following set:

**Possible Answers:**

**Correct answer:**

The intersection is the set that contains the numbers found in both sets. Therefore the intersection is .

### Example Question #4 : Number Sets

Which set of numbers represents the union of E and F?

**Possible Answers:**

**Correct answer:**

The union is the set of numbers that lie in set E or in set F.

.

In this problem set E contains terms , and set F contains terms . Therefore, the union of these two sets is .

### Example Question #6 : Number Sets

Express the following in Set Builder Notation:

**Possible Answers:**

**Correct answer:**

and stands for OR in Set Builder Notation

### Example Question #5 : Number Sets

Find the intersection of the two sets:

**Possible Answers:**

**Correct answer:**

To find the intersection of the two sets, , we must find the elements that are shared by both sets:

### Example Question #7 : Number Sets

What type of numbers are contained in the set ?

**Possible Answers:**

Complex

Integers

Natural

Imaginary

Irrational

**Correct answer:**

Integers

We can use process of elimination to find the correct answer.

It can't be **Imaginary** because we're not dividing by a negative number.

It can't be** Complex** because the number's aren't a mix of real and imaginary numbers.

It can't be **Irrational **because they aren't fractions.

It can't be **N****atural **because there are negative numbers.

It must be **Integers **then! All the numbers are whole numbers that fit on the number line.

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