Sample test
 
 
1)  Solve each equation or inequality.  Graph the solution on a number line.  If  there is no solution, write "no solution."

        a)  7x - 5 > 19            b)  (2 - x)/3 < (3 - 2x)/4            c)  |x| > 5
 
        d)  3|x - 5| < 21            e)  |5 - 2x| < 23                f)  3 < |x - 2| < 7
 
 
2)  Solve each inequality by the indicated method.  Graph on a number line.
 
Do by the factoring method.
        a)  x2 - 5x + 4 > 0            b)  x4 - 1 < 0          c)  (x - 4)(x + 3)/(x - 5) < 0
 
Use your graphing calculator to do the following.
        d)  2x3 + x2 - 12x + 8 < 0                    e)  2x3 + 3x2 - 1 > 0
 
 
3)  Sketch the graph of each of the given inequality in the x-y plane.
 
        a)  3x - 4y > 12            b)  y > x2 + 3x + 2            c)  2 < | x - 3| < 5
 
 
4)  Graph the solution of the given system of inequalities in the x-y plane.
 
        a)  x > 2                            b)  y <  x2 - 3                c)  |x| < 4
             x + 2y < 2                         y > x                              |y| > 1
 
 
5)  Maximize P = 2x + 3y under the following constraints:
 

x + 2y < 4
x + y < 3
x > 0, y > 0
 
 
6)  A popular cereal combines wheat and corn.  At least 27 tons of the cereal is to be made.  For the best flavor, the amount of corn should be at least twice the amount of wheat.  Corn costs $250 per ton and wheat costs $350 per ton.  How much of each should be used to minimize the cost?
 
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