# Induction 2

**Discrete Mathematics**Level pending

How many subsets \(X \in \mathbb{Z}\) satisfy the harder (than this) set equation

\(X=X+2\)?

**Note:** The set equation means that \(\forall \space x \in X, x+2 \in X\)

How many subsets \(X \in \mathbb{Z}\) satisfy the harder (than this) set equation

\(X=X+2\)?

**Note:** The set equation means that \(\forall \space x \in X, x+2 \in X\)

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