Question

How do you know where possible solutions lie for a system of inequalities?

Answer 1

In a system of equations, the possible solutions must be true for all of the equations. Values that are true for one equation but not all of them do not solve the system. The same principle holds for a system of inequalities, which is a set of two or more related inequalities. All possible solutions must be true for all of the inequalities.

Answer 2

We could draw solution region for each inequality on a graph and then see which part is common to all.