A question about absolutely continuous measure

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Let $(\Omega,\mathcal{F},\mu)$ be a finite measure space.

Let $\nu$ be a finite measure such that $\nu << \mu$.

My question is that, do we always have a constant $C>0$ such that $\nu(A)\leq C\mu(A)$ for all measurable $A$? If not, can you give me a counterexample? Thanks!