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2. Consider the set X N defined inductively as follows. Basis Clause: 2 X and 5 X. Inductive Clause: If n X and keX and

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2. Consider the set X N defined inductively as follows. Basis Clause: 2 X and 5 X. Inductive Clause: If n X and keX and nk then n+k X. Extremal Clause: Nothing is in X unless its membership can be established from the above. (a) Give three elements of N which are elements of X, explaining for each one why it is an element. (b) Give three elements of N which are not elements of X, explaining for each one why it is not an element. (e) Give a complete description of the set X using set building notation

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