Question: 3 ) ( 1 0 points ) ( Annual exam 2 0 2 1 ) Let A be a finite alphabet, and let L 1

3)(10 points)(Annual exam 2021) Let A be a finite alphabet, and let
L1 and L2 be two Turing-recognisable languages over A such that L1
is a proper subset of L2, i.e. L1 L2 but L16= L2. Let a language
L over the alphabet A satisfy that L1 L L2. Does L have to be
Turing-recognisable as well? Justify your answer.

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