1. Solve and Graph 2x + 3 < 9 2x + 3 = 9 -3 -3 2x = 6 2 2 x = 3
Solve a similar equation to find the dividing point.
2x + 3 = 9
2x = 6
x = 3
This is the dividing point. Plot in on the number line.
Test a point.
Test x = 0
2(0) + 3 < 9
0 + 3 < 9
x < 3
3 < 9
True.
Write the solution.
Shade the side with 0.

2. 2.5: LINEAR INEQUALITIES Example: 5x – 2y  8 + 3x 5x – 2y = 8 + 3x1.
Write a similar _____________ .
EQUATION
–2y = -2x + 8
Replace < or > with =. – 2.
Solve for y.
y = x - 4
This is your ___________
_______.
BOUNDARY
LINE y 6 3.
Draw a graph. 4 4.
Graph Boundary Line. 2 x
DASHED Line if < or >
SOLID Line if  or . -6 -4 -2 2 4 6 -2 -4 -6

3. False 5x – 2y  8 + 3x Test: (0, 0) 5(0) – 2(0)  8 + 3(0) 0  8 + 05.
Test a point.
5(0) – 2(0)  8 + 3(0)
Any point except points on dividing line.
Identify your test point.
Check in ORIGINAL problem.
Show work when you substitute.
Write True or False.
0  8 + 0
0  8
FALSE! x y 2 4 6 -2 -4 -6 6.
Shade towards TRUTH.
False
Test Point TRUE: Shade SIDE w/ point.
Test Point FALSE: Shade OTHER SIDE. 7.
Write solution in y form.
If below boundary line, then < or 
If above boundary line, then > or 
y ≤ x – 4

4. Graph the inequality Boundary line: Test point (0, 0) y-int: (0,-3)x 1 2 3 4 5 -1 -2 -3 -4 -5
Test point (0, 0)
y-int: (0,-3)
True
Shade the side with (0, 0).

5. Graph the inequality Boundary line: Test point (0, 0) y-int: (0,1)x 1 2 3 4 5 -1 -2 -3 -4 -5
Boundary line:
Test point (0, 0)
y-int: (0,1)
False