Linear Inequalities

Algebra I Name: Outline Sec. 6-5B Date: Mrs. Sweet

Linear Inequalities Solve It:

What are some possible combinations of paperback and hardcover books that you can buy?

Can you buy a negative number of books?

What are the boundary lines of the graph?

If a line is in form, you can determine whether to shade above or below the line.

Shade the line if y> mx + b Shade the line if y< mx + b

Rewriting a Graph to an Inequality: Suppose you can spend no more than $20 for hot dogs and hamburgers for a picnic Hot dogs cost $5 per package, and hamburgers cost $8 per package. What are three possible combinations of packages of hamburgers and hot dogs that you could buy?

What are the boundary’s to the inequality? Rewriting an Inequality to a Graph:

1) Determine the boundary line:

2) Is it shaded above or below the line?:

3) Write the inequality:

Write an inequality that represents each graph. 1.

Example: You and some friends have $30. You want to order large pizzas (p) that are $9 each and drinks (d) $1 each. Write and graph an inequality that shows how many pizzas Write and graph an inequality that shows how many pizzas and drinks you can order.