Question 1183643: Solve the inequality
 .
Answer by robertb(5830)   (Show Source):
You can put this solution on YOUR website! After combining the terms on the left-hand side of the inequality, we get
 .
<===>  .
The critical values of the right-hand side are the x values in which the numerator and denominator are equal to 0.
The roots of the top are  ~ 9.815, -0.815. The roots of the bottom are clearly 4 and -3.
The real number line is thus partitioned into five subintervals, namely ( , -3), (-3, -0.815), [-0.815, 4), (4, -9,815), and [9.815, ).
Get a convenient test point from each subinterval, and then substitute into the expression  , keeping in mind that we need this
expression to be non-negative after the substitution. From this we get the general solution (, -3) U [-0.815, 4) U [9.815,  ).
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