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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)
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
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.
Lesson 5­6.notebook

November 05, 2013

Lesson 5.6 examples:
Graph the following.
A) y > 1/2x  +  3

Y

X
Lesson 5­6.notebook

B)

November 05, 2013

3x  ­  y  <  2

Y

X
Lesson 5­6.notebook

C)

November 05, 2013

x  +  5y  <  10

Y

X
Lesson 5­6.notebook

D)

November 05, 2013

2x  +  3y  >  18

Y

X
Lesson 5­6.notebook

E)

November 05, 2013

3y  >  ­18

Y

X

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