We solve inequalities the same way we would solve equations. By adding 3 to both sides of the inequality, we can eliminate 3 from the left-hand side. This will help isolate z.
The second inequality is satisfied for all values of z less than - 1. The inequality is strict meaning z cannot be equal to - 1.
Comparing Solution Sets
Now we must compare our solution sets. From the first inequality, we know that the solution set consists of all numbers to the right of 2 on the number line, not including 2.
From the second inequality, we know the solution set included all values to the left of, but not including - 1.
The union of these solution sets is two intervals, z>2 or z<- 1.
