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Assignment 3
Solve:
Solution
Negative numbers are less easy to handle and therefore we divide both left- and right-hand side by 
. Then we get (note that dividing both sides by a negative number changes the direction of the inequality sign):
The graph of the quadratic function in the denominator is an 'opens up' parabola which does not have intersection points with the 
-axis (because the discriminant is negative). So the graph is positive for all values of 
. There is no value of for which the fraction will be negative.
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