When determining if a given point satisfies an equation, we substitute the point into the equation and simplify. If the resulting statement is true, then the point is contained in the solution set of the equation.
For , we can use the same method. However, substituting the point must create true statements in every
inequality in the system. Let's test to see if
is a solution to the given system.
is greater than
and less than
both statements are true. Therefore, the point
is contained in the solution set of the system.