This activity is about solving inequalities.

Inequalities will give you a range of answers for an unknown which could be **greater than** (>), **greater than or equal to** (≥), **less than** (<), **less than or equal to** (≤).

They are solved in the same way as equations, either by working backwards doing inverses, or carrying out the same operation to each side.

**For example:**

4x - 6 > 26

Solve it exactly as if it were an equals sign.

**Add 6** to both sides:

4x - 6 + 6 > 26 + 6

4x > 32

**Divide both sides by 4:**

x > 8

So, we know that** x > 8**

Just one operation needs care - multiplying or dividing each side by a ** negative** number will reverse the inequality sign.

This can be illustrated as follows:

We know that 10 > 4

Multiplying each side by -2 gives -20 > -8

This is obviously __NOT TRUE__

Reversing the sign makes it correct -20 < -8

Let's have a go at some questions now.