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Define the first injective function, f1: A B.
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2 stepsTo write two injective functions from set to set , we need to ensure that each element in maps to a unique element in .
Define the first injective function, .
We can map the elements of to distinct elements of .
This function is injective because each element in maps to a different element in .
Define the second injective function, .
To make it different from , we can change one or more of the mappings, ensuring it remains injective.
This function is also injective because each element in maps to a different element in .
The two injective functions are:
- defined as , , .
- defined as , , .
These are just two examples; many other injective functions are possible.
The two injective functions are:
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