Appendix A - Appendix A Exercises - Page 1158: 30

$$\left( {1,\infty } \right)$$

$$\eqalign{ & x\sqrt {x - 1} > 0 \cr & \sqrt {x - 1} {\text{ is always positive and }}x > 1 \cr & {\text{Then}} \cr & {\text{The solution of the inequality is }}\left( {1,\infty } \right) \cr} $$