Independence and inclusion

Let $$V$$ be a vector space and $$X\subseteq Y \subseteq V$$. Decide, which of the following claims are valid or not:

• Variant 1

The se $$X$$ is not independent, while the set $$Y$$ is independent.

• Variant 2

If the set $$X$$ is independent, so is the set $$Y$$.

• Variant 3

If the set $$Y$$ is independent, o is the set $$X$$.