91Ó°ÊÓ

Use a graphing calculator to solve each system. $$\left\\{\begin{array}{l} \frac{1}{3} x-\frac{1}{2} y=\frac{1}{6} \\ \frac{2}{5} x+\frac{1}{2} y=\frac{13}{10} \end{array}\right.$$

Graph the solution. $$y \leq 1$$

Use two equations in two variables to solve each application. One catcher's mitt and ten outfielder's gloves cost $$ 239.50 .\( How much does each cost if one catcher's mitt and five outfielder's gloves cost $$ 134.50 ?\)

Explain what we mean when we say "inconsistent system."

Graph each inequality for nonnegative values of \(x\) and \(y\). Then give some ordered pairs that satisfy the inequality. SEE EXAMPLE \(5 .\) (OBJECTIVE 3) It costs a bakery \(3\)dollar to make a cake and \(4\)dollar to make a pie. Production costs cannot exceed \(120\)dollar per day. Find an inequality that shows the possible combinations of cakes, \(x,\) and pies, \(y,\) that can be made, and graph it in the illustration.

What are the advantages and disadvantages of a. the graphing method? b. the substitution method?

Explain how to find the boundary for the graph of an inequality.

Explain how to use graphing to solve a system of inequalities.

What are some limitations of the graphing method for solving inequalities?

Can a system of inequalities have a. no solutions? b. exactly one solution? c. infinitely many solutions?