Injective Functions from A to Z in Systems of Equations Exercise Examples

I’m working on a set theory question and need support to help me understand better.

1. Let X and Y be sets. If Y is countable and there exists an injective function from X to Y, then X is countable.

2.Letfbe an injective function fromAtoZ+andgbe an injective functionfromBtoZ+, then defineh:A?B?Zgiven by

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