Solution of an Inequality


The solution of an inequality is any number that makes the inequality true. For example, 5 is a solution of the inequality x < 6 since 5 is smaller than 6 and -4 is also a solution of x < 6 since -4 is smaller than 6.

In fact, the solutions of the inequality x < 6 are all numbers that are smaller than 6.

A couple of examples showing how to find a solution of an inequality


Example #1

Find a solution of x + 2 < 5

Subtract 2 from each side of the inequality

x + 2 - 2 < 5 - 2

x < 3

A solution of x < 3 is -4

Example #2

Find a solution of 3x - 1 > 5

Add 1 to each side of the inequality

3x - 1 + 1 > 5 + 1

3x > 6

Divide each side by 3

3x / 3 > 6 / 3

x > 2

A solution x > 2 is 10

Recent math words

  1. What is an abacus? Definition and Chinese Abacus

    Jan 18, 22 08:00 AM

    What is an abacus? Learn quickly and easily to use an abacus to do math.

    Read More

  2. Width of an Object

    Jan 17, 22 09:15 AM

    What is the width of an object? Definition, explanation, and easy to understand real life examples.

    Read More

Enjoy this page? Please pay it forward. Here's how...

Would you prefer to share this page with others by linking to it?

  1. Click on the HTML link code below.
  2. Copy and paste it, adding a note of your own, into your blog, a Web page, forums, a blog comment, your Facebook account, or anywhere that someone would find this page valuable.
Share this page: