Borchers
Algebra I
Name: ________________________________
Section 6.5: Linear Inequalities
Objective: In this lesson, you will learn how to graph linear inequalities. You may read section
6.5 in your textbook for help. (Remember you can go online to see your textbook as well.
Directions about how to do this are still posted on my homepage). Show all of your work! You are
welcome to see Mrs. Borchers when you return to school if you need additional help with this
assignment.
Key Concept: You will use you prior knowledge of how to graph a line (Put in slope-intercept
form, plot the y-intercept, then use the slope to help you find more points). Before you draw
the line in, consider the inequality symbol you see in the equation. If the inequality symbol is ≤ or
≥, connect the points with a line like normal. However if the inequalities symbol is < or >, then you
must connect your points using a dashed line. Finally, you will shade your graph based upon the
inequality symbol. If you see a > or ≥, you will shade the graph above the line. If you see a < or ≤,
you will shade the graph below the line.
Inequality tip: Recall that if you multiply or divide an inequality by a negative number, you have
to flip the direction of the inequality symbol!
Graph each linear inequality.
Key Concept: An ordered pair is a solution of the inequality if it makes the inequality true. Plug
in the values for x and y into the equation and simplify. If the result makes a true inequality,
then the ordered pair is a solution.
Determine whether the ordered pair is a solution of the linear inequality.