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".