Also note that while the middle two regions do give

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

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...
View Full Document

Ask a homework question - tutors are online