Solve the inequality $\frac{29}{289}z< \frac{16}{161}z$.

(there is a way to solve this problem without doing a lot of messy computations! )

enter your answer as an inequality with just $z$ on the left side. for example, if the inequality in the problem were true for all positive $z$, then you'd enter "z> 0" (without the quotation marks). if it were true for all $z$ less than or equal to 3, then you'd enter "z< =3".