Algebra 5-6   Solving Solving ax + b < cx + d

Solve the inqualities.  Show your work.

1.    4x + 5 < -2x + 17                        2.    5(2x + 4) + 3x > 2(3x - 4)        
 
 
 
 
 
 
 
 
 

3.    -10 < 2y + -8                    4.   3n + 4 > 2n - 7             5.    -2a < -5a + 10
 
 
 
 
 
 
 
 

6.    To be a member of the Hickam club, you must pay an initiation fee of $200 and
       then a monthly fee of $20.  To be a member of the Bachrach club, you must pay
       an initiation fee of $140 and then a monthly fee of $25.
        a.)  What inequality describes when it is cheaper to be a memember of the
               Hickam club?
                                        ______________________________________

        b.)  What inequality describes when it is cheaper to be a memember of the
               Bachrach club?
                                        ______________________________________

        c.)  When (number of months) is it cheaper to be a member of the
              Hickam club?
                                       ______________

        d.)  When (number of months) is it cheaper to be a member of the
              Bachrach club?
                                       ______________