Solve the Inequality $7 < x ^ { 3 } - 1 < 26$

Multiple Choice

Solve the inequality $7 < x ^ { 3 } - 1 < 26$ . Restrict your attention to positive values of $x$ .

A) $\quad 3.16 < x < 3$
B) $2 < x < 3$
C) $2 < x < 7.9$
D) $3.16 < x < 7.9$ $$\sqrt { x } + \sqrt { x + 1 } > x + 1$$