Реши неравенство с помощью графика

The parabola y = x² + 2x + 3 opens upwards and its vertex is above the x-axis. The discriminant of the quadratic equation x² + 2x + 3 = 0 is Δ = 2² - 4(1)(3) = 4 - 12 = -8, which is negative. Since the parabola opens upwards and has no real roots, the entire parabola lies above the x-axis. Therefore, x² + 2x + 3 is always greater than 0 for all real values of x.