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Unformatted text preview: value to ever be zero. So, we don’t care what value the absolute value takes as long as it
isn’t zero. This means that we just need to avoid value(s) of x for which we get, 3x - 9 = 0 Þ 3x - 9 = 0 Þ x=3 The solution in this case is all real numbers except x = 3 .
Now, let’s do a quick set of examples with negative numbers. Example 4 Solve each of the following.
(a) 4 x + 15 < -2 and 4 x + 15 £ -2
(b) 2 x - 9 ³ -8 and 2 x - 9 > -8
Notice that we’re working these in pairs, because this time, unlike the previous set of examples
the solutions will be the same for each.
© 2007 Paul Dawkins 150 http://tutorial.math.lamar.edu/terms.aspx College Algebra Both (all four?) of these will make use of the fact that no matter what p is we are guaranteed to
have p ³ 0 . In other words, absolute values are always positive or zero.
(a) Okay, if absolute values are always positive or zero there is no way they can be less than or
equal to a negative number.
Therefore, there is no so...
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- Spring '12