This worksheet is about solving **inequalities**.

Inequalities will give you a range of answers for you 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.

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 .