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Independence and inclusion
Task number: 2522
Let V be a vector space and X⊆Y⊆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.