MODERATE EXERCISES - Inequalities

(1) Solve the following linear inequalitites. 

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

 (b) 7/3(3x - 5)  2/5(x + 5)
( Click On HINT To Get Some Help , Click On SOLUTION To See The Answer )

(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 , SOLUTION )

(3) Solve the following absolute value inequalities. Also, graph the solution on the number line. 

 (a) 5  |x + 1|

 (b) |4x + 20|  12

 (c) 

 (d) |x2 - 2x|  0
( HINT , SOLUTION )
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