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Solve the inequality $x(x + 6) > 16 - 5x + 33.$ Write your answer in interval notation.

 Nov 25, 2023
 #1
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Hint:

 

Expanded, you an get 

\(x^2+6x>49-5x\) which simplfies into

 

\(x^2+11x-49>0\)

Which can be factored - You can then draw a graph on a numberline where the 2 roots of the quadratic are points on a parabola, and find the ranges on the numberline for which the Y value of the parabola is positive.

 

Sorry, I don't know how to draw the graph on web2.0calc.

 Nov 25, 2023

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