# calculus

use a sign chart to solve inequality. Express answers in interval notation.
x^2+6<2x

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1. x^2-2x+6 < 0
no solutions, which means that

x^2+x > 2x for all x

http://www.wolframalpha.com/input/?i=plot+y%3Dx^2%2B6%2Cy%3D2x+where+x%3D-3..3

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2. Not sure how your "sign chart" method works, I will solve it the traditional way.

x^2 - 2x +6 < 0

Just looking at the graph of
y = x^2 - 2x + 6
we can tell that there is no solution.
http://www.wolframalpha.com/input/?i=Plot+y+%3D+x%5E2+-+2x+%2B+6

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