MODERATE EXERCISES-Inequalities

(2) Solve; graph the solution set on the real 
number line.

 (a) (x - 1)(x + 2)
     --------------  0 
         x - 4

 (b) 5x - 3
     ------  1
     2x + 1

 (c) 3 + x2  4x

 (d) x3 + 6x  5x2

 (e)    2x + 5
     ------------  0
     x2 + 2x - 35

HINT: Factor each of these, so 0 is on one side of the inequality.  Then find the roots of the other side, to determine the sign of the factors.  Then the signs of the factors on the separate intervals should tell you the sign of the overall expression on each interval.


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