Question: if language L1 is recognized by a DFA with 4 states, and language L2 is recognized by a DFA with 5 states then the DFA

if language L1 is recognized by a DFA with 4 states, and language L2 is recognized by a DFA with 5 states then the DFA to recognize L1 U L2 requires at least ___1___States

if language L1 is recognized by a DFA with 4 states, and language L2 is recognized by a DFA with 5 states then the DFA to recognize L1 L2 requires at least ___1___States

These 2 questions are what I have for the exam, I wonder why the answers are 1? Can anyone provide some steps for explaination? Thank you!

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