solve x^2 + x < 6

i am suppose to solve the inequality and graph the solution on a real number line
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1 Answer

x^2 + x < 6
x^2 + x - 6 < 0
x^2 + 3x - 2x - 6 < 0
(x^2 + 3x) - (2x + 6) < 0
x(x + 3) - 2(x + 3) < 0
(x - 2)(x + 3) < 0
-3 < x < 2
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