Question: Let R be a regular language and let N be a language which is not regular. 1. Suppose X is a language such that X

Let R be a regular language and let N be a

Let R be a regular language and let N be a language which is not regular. 1. Suppose X is a language such that X =RON. Does it follow that X is necessarily regular? If so, say why. Does it follow that X is necessarily non-regular? If so, say why. If your answers to the two previous questions was no, name a regular R and non-regular N satisfying X =RON with X non-regular, and name a regular R and non-regular N satisfying X =RON with X regular. 2. Suppose X is a language such that N=RnX. Does it follow that X is necessarily regular? If so, say why. Does it follow that X is necessarily non-regular? If so, say why. If your answers to the two previous questions was no, name a regular R and non-regular N satisfying N=RnX with X non-regular, and name a regular R and non-regular N satisfying N=RnX with X regular. 3. Suppose X is a language such that R=NnX. Does it follow that X is necessarily regular? If so, say why. Does it follow that X is necessarily non-regular? If so, say why. If your answers to the two previous questions was no, name a regular R and non-regular N satisfying R=NnX with X non-regular, and name a regular R and non-regular N satisfying R=NnX with X regular

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