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Let L 1 and L 2 be any two languages over * where = {a,b}. Prove or disprove: (a) If L 1 L 2 and

Let L₁ and L₂ be any two languages over * where = {a,b}. Prove or disprove:

(a) If L₁ L₂ and L₂ is regular, then L₂ L₁ is regular.

(b) If L₁ = L₁L₂ and / L₂, then L₁ =

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