Hello, nerdzor!
Another approach . . .
Solve: .
We have the function: . . . . a parabola
. . and they want to know when the graph is below the x-axis.
Since this is an up-opening parabola, the curve is below the x-axis
. . in the interval between the x-intercepts.
The x-intercepts occur when
. . But this equation has no real roots.
Hence, there are no x-intercepts. .The graph never goes below the x-axis.
The inequality is never true.