# Inequalities

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## Inequalities

**Inequalities are very much like linear equations but instead of an '=' sign they use the following signs:**

You can solve them in exactly the same way you solve linear equations with one extra rule that it is very important to remember!

**If you multiply or divide the terms in an inequality by a negative number the inequality sign swaps round.**

So, < would change to > and so on.

Simple as that! Here's an example:

**Solve 12x - 5 < 8x + 3**

4x - 5 < 3 (Subtracted 8x from both sides)

4x < 8 (Added 5 to both sides)

x < 2 (Divided both sides by 4 which gives us the answer!)