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Unformatted text preview: there is no factoring to do so we can go straight to identifying where the numerator
and denominator are zero. numerator : x = 3
2 denominator : x = -4 Here is the number line for this problem. Okay, we want value of x that give positive and/or zero in the rational expression. This looks like
the outer two regions as well as x = 3
. As with the first example we will need to avoid x = -4
2 since that will give a division by zero error.
The solution for this problem is then, -¥ < x < -4 ( -¥, -4 )
Example 5 Solve and
ø x -8
£ 3- x.
So, again, the first thing to do is to get a zero on one side and then get everything into a single
rational expression. © 2007 Paul Dawkins 138 http://tutorial.math.lamar.edu/terms.aspx College Algebra x -8
+ x -3£ 0
x - 8 x ( x - 3)
x - 8 + x 2 - 3x
x2 - 2 x - 8
( x - 4 )( x + 2 ) £ 0
We also factored the numerator above so we can now determine where the numerator and
denominator are zero. numerator : x = -2, x = 4 denominator : x = 0...
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- Spring '12