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Assignment:

1­­>L6.1, pg. 336­337, #16 ­ 24 (evens) & #28 ­ 40 (evens) ­ Due Monday (1/9)
2­­>Chapter 5 Test signed for extra credit??




                                                                                1
Lesson 6.1 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 on a number line.
4) m  +  3  >  5  and m  +  3  <  7

5)   ­n  >  2  or 2n  ­  3  >  5




                                                                             2
Lesson 6.1:
*FYI...the solution for a system of equations is the ordered pair that is a 
solution for all of the equations....

...and..system of equations can have one solution, an infinite number of 
solutions, or no solutions....

**IF the system has one solution, it is called consistent.  [the graphs 
intersect at one point or are the same line]

***IF the consistent system has EXACTLY one solution, it is called 
independent.  [the graphs intersect at exactly one point]

****IF the consistent system has an INFINITE number of solutions, it is 
called dependent.  [the graphs are the same line(s)]




                                                                               3
*****IF the system has no solution, it is called inconsistent.  [the 
graphs are parallel]


    ­­>Look at the Concept Summary chart on page 333 in your 
book!

          ONE way to solve a system of linear 
           equation is to GRAPH them!




                                                                        4
Lesson 6.1 examples:
Graph each system and determine the number of solutions it has.  If it 
has one solution, name it.
A) y = 6
     y = 3x + 4                                              Y




                                                                          X




                                                                              5
B)   y = ­2x  +  3   Y
     y = ­2x  ­  5




                         X




                             6
C)   x  +  y  =  4      Y
     3x  +  3y  =  12




                            X




                                7
D)   2x  ­  y  =  ­1
     4x  ­  2y  =  6
                       Y




                           X




                               8
E)   x  +  2y  =  3   Y
     x  =  5



                          X




                              9

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8th Alg - L6.1--Jan5