Where in the word is a suffix added?

Exhaustive set of value of x satisfying log_|x| (x² + x + 1) ≥0 is –

The expression  lies in the interval ; (x ε R) –

For every x ε R, the polynomial x⁸ - x⁵ + x² - x + 1 is :

If the roots of the quadratic equation x² + 6x + b = 0 are real and distinct and they differ by atmost 4 then the least value of b is –

The number of positive integral solutions of the inequation  is