Thursday, June 9, 2016

High School Math Solutions – Inequalities Calculator, Linear Inequalities

Solving linear inequalities is pretty simple. A linear inequality is an inequality which involves a linear function. Think of a linear inequality as a linear equation. You solve a linear inequality just like you would a linear equation, by isolating the variable using algebraic manipulations.

One thing to note: if you divide or multiply a linear inequality by a negative number you must switch the inequality sign. That means if you have -2y\le4 and you divide the linear inequality by -2 to isolate y, then the sign switches to ≥. The inequality becomes y\ge2.

Let’s see some examples.

First example (click here):

By using simple algebra, x was isolated and the answer was calculated. You can see that the sign was switched because the inequality was multiplied by -2.

Second example (click here):

Last example (click here):

Solving linear inequalities is pretty simple if you’ve solved linear equations before. As long as you remember to switch the inequality sign when multiplying or dividing the inequality by a negative number, then you are good to go! If you need more help or practice on this topic, check out Symbolab’s inequality practice.

Until next time,



  1. High School Math Solutions in every stage become complicated for every student but it increases students learning skills. Essay Writing Service | AOneEssays

  2. Thanks for sharing.I found a lot of interesting information here. A really good post, very thankful and hopeful that you will write many more posts like this one.
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