Example

Find the solution set. Write the solution set in interval notation and graph it on a number line.

Solution

We can start by subtracting $5$ from both sides to get

Recall that adding or subtracting on both sides does not reverse the inequality. Now we divide both sides by $-4$. This will reverse the inequality:

or

The solution set contains all numbers greater than or equal to $3$. In interval notation, this is

which has the following graph.