Algebra 1 : How to find the solution to an inequality with division

Study concepts, example questions & explanations for Algebra 1

varsity tutors app store varsity tutors android store

Example Questions

← Previous 1 3 4

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

Solve for :

Possible Answers:

None of the other answers

Correct answer:

Explanation:

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:

Explanation:

    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:

Explanation:

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:

Explanation:

 

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:

Explanation:

 

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:

Explanation:

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

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:

Explanation:

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

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:

Explanation:

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:

Explanation:

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:

Explanation:

or, in interval form, 

← Previous 1 3 4
Learning Tools by Varsity Tutors

Incompatible Browser

Please upgrade or download one of the following browsers to use Instant Tutoring: