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Justify your answer to each of the following true/false statements: l. Every subset of a regular set is regular 2. The intersection of a regular

Justify your answer to each of the following true/false statements:

l. Every subset of a regular set is regular

2. The intersection of a regular set with a finite set is regular

3. The union of a regular set with an infinite set is regular

4. The positive closure of a regular set is regular

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