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Is the statement true?

I feel that the statement is true. I want to prove it but I don't know how to start the proof.

Any help would be appreciated.

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    $\begingroup$ Remember, zero is a finite number. As Vladislav said in his answer, can you finish it now? $\endgroup$ Feb 27 '20 at 17:20
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Clearly if $A$ is non-regular, its complement is non-regular as well. Can you finish it now?

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