Inequalities

Solve the inequality $$ |x^2 + x| - 5 <0 $$. ...

Solve the inequality $$ \frac{x^4 + x^2 + 1}{x^2 - 4x - 5} < 0 $$ ...

Solve the inequality $$ \sqrt{x + 7} <x $$ ...

Solve the inequality: $$ \frac{(x + 2)(x^2 - 2x + 1)}{4 + 3x - x^2} \geq 0 $$ and determine the correct range for $...