Solution assignment 03 Inequalities with fractions

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Assignment 3




Negative numbers are less easy to handle and therefore we divide both left- and right-hand side by -5. 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 X-axis (because the discriminant is negative). So the graph is positive for all values of x. There is no value of x for which the fraction will be negative.

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