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Unformatted text preview: t work with these however.
Since we don’t know the value of x we can’t multiply both sides by anything that contains an x.
Recall that if we multiply both sides of an inequality by a negative number we will need to switch
the direction of the inequality. However, since we don’t know the value of x we don’t know if
the denominator is positive or negative and so we won’t know if we need to switch the direction
of the inequality or not. In fact, to make matters worse, the denominator will be both positive and
negative for values of x in the solution and so that will create real problems.
So, we need to leave the rational expression in the inequality.
Now, the basic process here is the same as with polynomial inequalities. The first step is to get a
zero on one side and write the other side as a single rational inequality. This has already been
done for us here.
The next step is to factor the numerator and denominator as much as possible. Again, this has
already been done for us in...
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- Spring '12