Solve each inequality algebraically, accurate to 3 s.f.

$-x^2-x+5\ge 0$

Solve inequality algebraically, accurate to 3 s.f.

$-2x^2+4x+2\le 0$

Solve inequality algebraically, accurate to 3 s.f.

$5x^2-2x-1<0$

Solve inequality algebraically, accurate to 3 s.f.

$x^2+10x\ge -8$

Solve inequality algebraically, accurate to 3 s.f.

$-3x^2-2x+1<x^2+x-1$

Solve inequality algebraically, accurate to 3 s.f.

$x^2-5x\le -1$

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

$x^2+2x+1\le 0$

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.

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