Solve inequality. Explain your result by considering the discriminant of the quadratic function.

$x^2+x+4\ge 0$

Solve inequality. Explain your result by considering the discriminant of the quadratic function.

$x^2+2x+4>0$

Solve inequality. Explain your result by considering the discriminant of the quadratic function.

$-{\left(x-1\right)}^2-3<0$

How can the discriminant help you solve quadratic inequalities?

Solve inequality algebraically and check your solution graphically

$\frac{1+x}{1-x}<0, x\ne 1$

Solve inequality algebraically $\frac{x+6}{x+1}\ge 2, x\ne -1$

Solve inequality algebraically $\frac{x+1}{x-4}>0, x\ne 4$