You can put this solution on YOUR website! From x^2 - 5x + 6 > 2, we subtract 2 from both sides and factor:
x^2 - 5x + 4 > 0
(x - 4)(x - 1) > 0
On a number line plot open points at x = 4 and x = 1. These are our "critical" points. Now we test to see whether a point in between satisfies the inequality, that is, does x = 2 make it true. It turns out that it does not make it true so you know that the region in between 1 and 4 is NOT part of the answer. Thus x > 4 or x < 1 is the answer.
You can put this solution on YOUR website! x^2-5x+6>2
Is the same as x^2-5x+4>0
Applying the general formula:
We get the solution x=1,x=4.
Therefore the solution is the union of two intervals minus the values for which the equation is equal to cero (-inf,1)U(4,+inf)-(1,4)
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