Question

WILL MEDAL AND FAN
So far, you have learned how to solve problems with equations and systems of equations where one side was equal to the other. But often, in the real world, solving a problem depends on understanding inequalities and even solving systems of inequalities. Can you think of a situation in which it might be more useful to define an equality than an equation? Describe the situation.
SECOND PART IN COMMENTS

Answer 1

Think of the graph of a single linear inequality. Remember how one side of the graph is typically shaded to indicate allowed values. If you were seeking to solve a system of several linear inequalities, how could you use a similar method to visualize allowed values among all of the inequalities? How would that graph look?

Answer 2

@candycove @deathsblood

Answer 3

You would just repeat the process for each inequality given

Say I gave you a system of inequalities

\[\large y \le 2x + 3\]
\[\large y \le x - 3\]

If we were to graph the first one (not shading yet)...we would have

Answer 4

Now if I were to shade in the correct side...it would look like



All of the numbers in that shaded region would work in that inequality

Answer 5

Now lets add in the second inequality I gave you \(\large y = x - 3\)