### All Algebra 1 Resources

## Example Questions

### Example Question #1 : How To Find The Solution To An Inequality With Division

Solve for :

**Possible Answers:**

None of the other answers

**Correct answer:**

To solve for , separate the integers and 's by adding 1 and subtracting from both sides to get . Then, divide both sides by 2 to get . Since you didn't divide by a negative number, the sign does not need to be reversed.

### Example Question #2 : How To Find The Solution To An Inequality With Division

Solve the following:

**Possible Answers:**

**Correct answer:**

Don't forget to change the direction of the inequality sign when dividing by a negative number!

### Example Question #3 : How To Find The Solution To An Inequality With Division

Give the solution set of the inequality:

**Possible Answers:**

The set of all real numbers

**Correct answer:**

Note change in direction of the inequality symbol when the expressions are divided by a negative number.

or, in interval form,

### Example Question #4 : How To Find The Solution To An Inequality With Division

Give the solution set of the inequality:

**Possible Answers:**

The inequality has no solution.

**Correct answer:**

Note change in direction of the inequality symbol when the expressions are divided by a negative number.

or, in interval form,

### Example Question #5 : How To Find The Solution To An Inequality With Division

Give the solution set of the inequality:

**Possible Answers:**

The inequality has no solution.

**Correct answer:**

Note change in direction of the inequality symbol when the expressions are divided by a negative number.

or, in interval form,

### Example Question #6 : How To Find The Solution To An Inequality With Division

Give the solution set of the inequality:

**Possible Answers:**

The set of all real numbers

**Correct answer:**

or, in interval form,

### Example Question #7 : How To Find The Solution To An Inequality With Division

Give the solution set of the inequality:

**Possible Answers:**

The set of all real numbers

**Correct answer:**

or, in interval form,

### Example Question #8 : How To Find The Solution To An Inequality With Division

Solve for :

**Possible Answers:**

None of the other answers

**Correct answer:**

First, add and subtract from both sides of the inequality to get .

Then, divide both sides by and reverse the sign since you are dividing by a negative number.

This gives you .

### Example Question #9 : How To Find The Solution To An Inequality With Division

Find the solution set to the following compound inequality statement:

**Possible Answers:**

**Correct answer:**

Solve each of these two inequalities separately:

, or, in interval form,

, or, in interval form,

The two inequalities are connected with an "and", so we take the *intersection* of the two intervals.

### Example Question #10 : How To Find The Solution To An Inequality With Division

Solve for :

**Possible Answers:**

The inequality has no solution.

**Correct answer:**

or, in interval form,