INTRODUCTORY EXERCISES

(1) Solve the following linear inequalities.

 (a) 7x - 8  4x + 7

 (b) 3 - x  5(3 - x)

 (c)   x
      ---  4
      -2

 (d) -3x - 5  2

 (e) 75  0.4t + 41.45  85

 (a) 3x < 15
      x < 5

 (b) 3 - x  15 - 5x
        4x  12
         x  3

 (c) x < -8

 (d) -3x < 7
       x < -7/3

 (e) 75  0.4t + 41.45 < 85
     75 - 41.45  0.4t < 85 - 41.45
     33.55  0.4t < 43.55
     83.875  t < 108.875