3. (8 points) Consider the alphabet [0, 1,2. (a) Find an example of a languages X, Y over this alphabet such that X is not context-free,)Y is context-free, Y is nonregular, and X CY. Prove that each of these properties hold for the sets X and Y, either by citing the relevant facts from class /the textbook or providing the justifications (b) Find an example of a languages A, B over this alphabet such that A is context-free, A is nonregular, B is not context-free, and A S B. Prove that each of these properties hold for the sets A and B, either by citing the relevant facts from class /the textbook or providing the justifications