1. Objectives: Learn to solve Linear Inequalities 3x + 2y > 6 y > 0

2. Graph of linear inequalities y > x + 3 y < -x - 2
Step 1:
Graph points for y = x + 3
Step 2:
Draw dotted line if < or >
Draw solid line if < or >
y > x + 3
Step 3:
If the equation is in y = mx + b form,
shade above line if > or >
shade below line if < or <
y < -x -2

3. Graph of linear inequalities y > x + 3 y < -x - 2
The only part that should actually be shaded is the part where the purple and green overlap.
y > x + 3
So this is what the graph would look like on the CIM
y < -x -2

4. Is this the correct graph? y > x + 5 y < -x
Step 1:
Make sure the lines are the correct lines.
Step 2:
Check to see if lines should be dotted or solid.
(-5, 3)
Step 3:
Pick a point from the shaded area and check it in BOTH inequalities. If the point makes BOTH inequalities true, then it is the correct graph.
( ) > ( ) True
( ) < -( ) True

5. Match the graph below with the correct set of inequalities
y < 0
y > ½ x - 1
y > 0
y > ½ x - 1
y > 0
y < ½ x -1
Answer: y> 0 and y > ½ x -1

6. Match the graph below with the correct set of inequalities
6x - 4y > -12
y > 0
6x - 4y < -12
y < 0
6x – 4y < -12
y > 0
Answer: 6x – 4y < -12 and y > 0

7. Mrs. Hofsted’s students are THE BEST!!!!!!!