This means that no matter what x is we can be assured

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Unformatted text preview: - , - ú . 39 û [Return to Problems] (c) 3 - 2 z £ 5 We’ll need to be a little careful with solving the double inequality with this one, but other than that it is pretty much identical to the previous two parts. -5 £ 3 - 2 z £ 5 -8 £ -2 z £ 2 4 ³ z ³ -1 In the final step don’t forget to switch the direction of the inequalities since we divided everything by a negative number. The interval notation for this solution is [ -1, 4] . [Return to Problems] Inequalities Involving > and ³ Once again let’s start off with a simple number example. p ³4 This says that whatever p is it must be at least a distance of 4 from the origin and so p must be in one of the following two ranges, p £ -4 or p³4 Before giving the general solution we need to address a common mistake that students make with these types of problems. Many students try to combine these into a single double inequality as follows, -4 ³ p ³ 4 While this may seem to make sense we can’t stress enough that THIS IS NO...
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This note was uploaded on 06/06/2012 for the course ICT 4 taught by Professor Mrvinh during the Spring '12 term at Hanoi University of Technology.

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