91Ó°ÊÓ

Fill in the blanks. When the graphs of two equations in a system are different lines, the equations are called _____ equations.

The symbol \(\leq\) means _____ or _____.

To graph a linear inequality such as \(2 x+y>4\), first graph the boundary with a dashed line. Then pick a test _____ to determine which half-plane to shade.

Fill in the blanks. An \(____\) is a statement indicating that two quantities are equal.

If a false statement results when the coordinates of a test point are substituted into a linear inequality, which halfplane should be shaded to represent the solution of the inequality?

Use two equations in two variables to solve each application. Chayla and Lena pool their resources to buy several lottery tickets. They win $$ 250,000\( ! They agree that Lena should get $$ 50,000\) more than Chayla, because she gave zmost of the money. How much will Chayla get?

Graph each inequality. SEE EXAMPLE 4. (OBJECTIVE 2) $$2 x-y \leq 4$$

Graph the solution. $$y<3 x$$

Solve each system using any method. $$\left\\{\begin{array}{l}3 x+y=5 \\\3 x-4 y=10\end{array}\right.$$

Graph the solution. $$x<2$$