Give an inductive definition of a set of all integers from Z, such that they are divisible by 14 or 23 or both

Question

(For a, b in Z, we say a is divisible by b if a/b is in Z. Here b is not zero.)

Answer 1

Let S be the set of all integers expressable as 14n where n is an integer.
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Let T be the set of all integers expressable as 23n where n is an integer.
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Then S U T is the set you seek.