Objective: Graph Linear Inequalities
Graphing Linear Inequalities Review
¾ Graph the boundary line
o Boundary line is solid for an inequality with ≤ or ≥.
o Boundary line is dashed for an inequality with < or >.
¾ Shade one side of the boundary line
o Use a test point and test it
o If (y < ) or (y ≤ ) shade below
o If (y > ) or (y ≥ ) share above
Examples: Graph each linear inequality
2. 4 < x + y ≤ 9
3
1. y < − x + 1
4
y
y
10
10
5
5
x
x
-5
-10
-10
-5
-5
5
-10
-10
10
-5
5
10
Example: Graph the inequality
3. y > x − 3
y
10
5
x
-5
-10
-10
-5
5
10
Example: Use the following information to do the following.
A small craft business makes red-trimmed baskets and blue-trimmed baskets. Each bluetrimmed basket requires 2 feet of ribbon and each red-trimmed basket requires 1 foot of
ribbon. The company wants to use between 54 and 72 feet of ribbon each day. Let x
represent the number of blue-trimmed baskets and y represent the number of red-trimmed
baskets.
1. Draw a graph that models the combinations of baskets that can be made.
y
70
60
50
40
30
20
10
10
20
30
40 x