Real Series/Comparing criterion/Exercise

Prove the following Comparison test:

Let ${}\sum _{k=0}^{\infty }a_{k}$ and ${}\sum _{k=0}^{\infty }b_{k}$ be two series of non-negative real numbers. The series ${}\sum _{k=0}^{\infty }b_{k}$ is divergent and moreover we have ${}a_{k}\geq b_{k}$ for all ${}k\in \mathbb {N}$.

Then the series ${}\sum _{k=0}^{\infty }a_{k}$ is also divergent.

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