Algebra: Solving Inequalities


Sometimes we have to solve an inequality and we do this in exactly the same way as we would solve an equation.

Example 1

Solve:

When we solve this, we are going to get a range of values.

We will solve it however, exactly how we will solve an equation, except we will have a less than sign rather than an equal sign.

First, we add 4 to both sides. 3x -4 +4 < 8 +4

So that removes the 4 on the left-hand side and we, therefore, get 3x < 12

We then divide both sides by 3 to get x < 4