Make sure that youve got something thats going to be

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Unformatted text preview: Not much to this one. We’ll proceed as we’ve done the previous two. -14 < -21x - 14 < 1 0 < -21x < 15 Don’t get excited about the fact that one of the sides is now zero. This isn’t a problem. Again, as with the last part, we’ll be dividing by a negative number and so don’t forget to switch the direction of the inequalities. 15 21 5 0> x>7 0> x>- OR - 5 <x<0 7 Either of the inequalities in the second row will work for the solution. The interval notation of æ5 è7 ö ø the solution is ç - , 0 ÷ . [Return to Problems] When solving double inequalities make sure to pay attention to the inequalities that are in the original problem. One of the more common mistakes here is to start with a problem in which one of the inequalities is < or > and the other is £ or ³ , as we had in the first two parts of the previous example, and then by the final answer they are both < or > or they are both £ or ³ . In other words, it is easy to all of a sudden make both of the inequalities the same. Be careful with this. There is o...
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