1) The document provides instructions and lesson material for Lesson 5-6 on linear inequalities and their graphs. It includes assigning practice problems to be completed for homework and an upcoming test. 2) The warm-up exercises involve solving compound and single variable inequalities. Lesson 5.6 defines linear inequalities and describes the steps to graph them by plotting the line and shading the correct half-plane based on testing a point. 3) Examples are given to graph various linear inequalities, labeling the axes and shading the appropriate regions.

1. Lesson 5­6.notebook
November 05, 2013
Assignment:
1­­>L5.6, pg. 318, #2­6 (evens) & #12 ­ 22 (evens) ­ Due Tomorrow (11/6)
2­­>Checkpoint 5­4 thru 5­6 ­ Due Thursday (11/7)
3­­>Chapter 5 Test ­ Monday (11/11)

2. Lesson 5­6.notebook
Lesson 5.6 WarmUp:
Solve each inequality.
1) ­2x + 4 > ­6
2)
5n ­ 3(n ­ 6) > 0
3)
23 ­ t < 2(t ­ 9) ­ 3(t + 2)
Solve each compound inequality. Then graph the solution.
4) m + 3 > 5 and m + 3 < 7
5)
­n > 2 or 2n ­ 3 > 5
November 05, 2013

3. Lesson 5­6.notebook
November 05, 2013
Lesson 5.6:
*linear inequality ­ an inequality with 2 variables (x and y) that include a
"half­plane" of the coordinate graph.
*Steps for graphing a linear inequality:
­­Graph the inequality (as if it were an equation)
[Use a dashed line for < or > and a solid line for < or >.]
­­Pick a point and "test" it in the inequality.
­­"IF the point works...shade the half­plane containing the point
and "IF" the point doesn't work...shade the other half­plane.

4. Lesson 5­6.notebook
November 05, 2013
Lesson 5.6 examples:
Graph the following.
A) y > 1/2x + 3
Y
X

5. Lesson 5­6.notebook
B)
November 05, 2013
3x ­ y < 2
Y
X

6. Lesson 5­6.notebook
C)
November 05, 2013
x + 5y < 10
Y
X

7. Lesson 5­6.notebook
D)
November 05, 2013
2x + 3y > 18
Y
X

8. Lesson 5­6.notebook
E)
November 05, 2013
3y > ­18
Y
X