Solve the Inequality $8 < x ^ { 3 } - 1 < 27$

Multiple Choice

Solve the inequality $8 < x ^ { 3 } - 1 < 27$ . Restrict your attention to positive values of $x$ .

A) $3.31 < x < 3.04$
B) $2.08 < x < 3.04$
C) $2.08 < x < 7.58$
D) $3.31 < x < 7.58$ $$\sqrt { x } + \sqrt { x + 1 } > x + 1$$