How can I ask Sage to solve the following non linear inequality
$$\sum_\limits_{i=1}^{n}a_{i}u^{sum_\limits_{j=1}^{i}y_j} > c$$
$$y_j in \{0,1\}, j=1,2,\dots,n$$
$$a_i \in \mathbd{R}, i=1,2,\dots,n$$
$$n \in \mathbd{N}, u>0, c > 0$$
where the $y_j$ are variable and all other terms constant.

I'm new to Sage, and also its the first time I try to solve a
nonlinear inequality numerically. I don't find my way in Sage
documentation. Thanks for any help.

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