The solution of inequality about X, 2x + 1 / X ≥ - 3

The solution of inequality about X, 2x + 1 / X ≥ - 3

2x+1/x≥-3
2x+1/x+3≥0
(2x^2+3x+1)/x≥0
(x+1)(2x+1)/x≥0
{x | - 1 / 2 ≥ x ≥ - 1, or X ≥ 0}