8th alg - lesson 5-6--dec 12

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Page 1: 8th Alg - Lesson 5-6--Dec 12

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Assignment:

1­­>L5.6, pg. 318, #2­6 (evens) & #12 ­ 22 (evens) ­ Due Wed. (12/14)2­­>Checkpoint 5­4 thru 5­6 ­ Due Wednesday (12/14) 3­­>Chapter 5 Test ­ Thursday (12/15)

Page 2: 8th Alg - Lesson 5-6--Dec 12

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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

Page 3: 8th Alg - Lesson 5-6--Dec 12

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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.

Page 4: 8th Alg - Lesson 5-6--Dec 12

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

X

Y

Page 5: 8th Alg - Lesson 5-6--Dec 12

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B) 3x  ­  y  <  2

X

Y

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X

YC) x  +  5y  <  10

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D) 2x  +  3y  >  18

X

Y

Page 8: 8th Alg - Lesson 5-6--Dec 12

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E) 3y  >  ­18

X

Y