MODERATE EXERCISES


(1) Solve the following linear inequalitites.


 (a) y - 3        y
     ----- - 1 > ---
       4          2

 (b) 7/3(3x - 5) < 2/5(x + 5)

SOLUTION:

 (a) y - 3        y
     ----- - 1 > ---
       4          2

     y - 3 - 4 > 2y

     -7 > y

     y < -7



 (b) 7/3(3x - 5) < 2/5(x + 5)

     7x - 35/3 < 2x/5 + 2

     33x   41 
     --- < ---
      5     6

     x < 205/198


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