SOLUTION: Hello ! Can you please help me with this? I just don't get it... Iwould really appreciate if you could show how to solve it step by step. Many thanks (x-3)^2>=33-4x

Question 359105: Hello !
Can you please help me with this? I just don't get it... Iwould really appreciate if you could show how to solve it step by step. Many thanks
(x-3)^2>=33-4x
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

Break up the number line into 3 regions using the critical points of the function.
Region 1:(,)
Region 2:(,)
Region 3:(,)
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.
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For each region, choose a point in the region (not an endpoint).
Test the inequality.
If the inequality is satisfied, the region is part of the solution region.
.
.
Region 1:

True, Region 1 is part of the solution region.
.
.
Region 2:

False, Region 2 is not part of the solution region.
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.
Region 3:

True, Region 3 is part of the solution region.
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.
Solution Region: (,] U [,)
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.
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Graphical verification: Look for regions where the function is above the x-axis ()
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.

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