Problem 3 . A, B are two regular languages over the alphabet E. Prove the language A_Contain_B = {x € Σ* | x € A and x contains some string y € B as a substring} is Regular. For example, when A= {aba, baa, bab} and B = {ab}, A_Contain_B = {aba, bab} (Hint: You can make use of closure properties proved in lectures)

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