Solving Linear Inequalities - Example -3(x - 2) ≥ 18

In this video, we solve the linear inequality -3(x - 2) ≥ 18 and plot the solution on a number line.
In general, you can treat an inequality in exactly the same way as a normal equation with one exception - when multiplying or dividing by a negative number, the inequality must be reversed.

So if we divide both sides of the inequality by -3, the statement becomes...

x - 2 ≤ -18/3.

(...remember that since we divided by a negative number, we have to switch the direction of the inequality...)

Then it's a matter of simplifying...

x ≤ -6 + 2

Click here to watch "Linear Inequalities - Example 2"