Question 37472: Solve each rational inequality. State and graph the solution set.
x + 3/x equal to or less than -2
Answer by fractalier(6550)   (Show Source):
You can put this solution on YOUR website! From x + 3 / x ≤ -2, clear fractions by multiplying both sides by x...
x^2 + 3 ≤ -2x then add 2x to both sides and factor what's on the left...
x^2 + 2x + 3 ≤ 0
It turns out that the minimum point of this parabola is at (-2, 3) and never crosses the x-axis.
Thus it has no real solutions.
I hope you wrote the problem correctly.
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