Question: True or False. Briefly explain. 1) If L is context free, then L L must also be context free. 2) If L is context free,

True or False. Briefly explain.

1) If L is context free, then L L must also be context free.

2) If L is context free, then L L must be regular.

3) If L is context free, then L must also be context free.

4) If L1 L2 and L2 is context-free, then L1 must also be context-free.

5)The context-free languages are closed under concatenation with the regular languages.

6) The regular languages are closed under union with the context-free languages.

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