find the solution set ofthe following quadratic inequalities then graph
[tex]1. \: x {}^{2} - 6x + 5 > 0[/tex]
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find the solution set ofthe following quadratic inequalities then graph
[tex]1. \: x {}^{2} - 6x + 5 > 0[/tex]
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The solution set is or . Refer to attached file for the graph
Factoring the quadratic expression, we find that
So, the quadratic inequality can be expressed as
We have two possible cases: both of them is greater than zero or both of them is less than zero. That is,
Solving each, we get
In the first case, we get the solution , and in the second case, we get the solution as .