Inequality Solution

by Nic

I need help solving the following inequality:

Comments for Inequality Solution

Average Rating starstarstarstarstar

Click here to add your own comments

Jan 13, 2010
Inequality Solution
by: Karin

Hi Nic,

This type of inequality requires a few more steps in order to solve. The following is a step by step solution:

Your goal is to get x by itself in the middle of the inequality. Therefore, you need to get rid of the constant, 3 and the coefficient -2.

We will use the rules that you are familiar with for solving equations and inequalities:

1. Whatever you do to one side, you must do to the other side. In this case, whatever you do to the "middle" you must do to both sides of the inequality.

2. If you multiply or divide by a negative number, you must reverse the inequality sign.

Step 1: Subtract 3 from the middle and "both sides".

-4 -3 < 3 - 3 - 2x < 20-3

Step 2: Simplify

-7 <-2x < 17

Step 3: Divide the middle and "both sides" by -2.

-7/-2 < -2x/-2 <17/-2

Step 4: Simplify (Since you divided by -2, you must reverse both inequality symbols).

7/2 > x > -17/2

This is your final answer!

7/2 is greater than x and x is greater than -17/2.

Therefore, the solutions to this inequality are the numbers between -17/2 and 7/2.

I hope this helps you solve your problems!

Good luck,

Click here to add your own comments

Join in and write your own page! It's easy to do. How? Simply click here to return to Students.

Need More Help With Your Algebra Studies?

Get access to hundreds of video examples and practice problems with your subscription! 

Click here for more information on our affordable subscription options.

Not ready to subscribe?  Register for our FREE Pre-Algebra Refresher course.