Question

y > -x-1
y < -x-1
The solution set of a system of inequalities is where the graphs overlap. What is the solution set for this system of inequalities? Explain your answer. @JungHyunRan

Answer 1

There is no solution.

This is because y_1 = y_2. Since it is testing for both larger than and smaller than, there is no way a number can be both larger than and smaller than a set point.

Graphically, both of the areas are separated by their dotted, inequality line, so there is never an overlap and therefore never a solution.