1. In mathematics, two sets that have the same cardinality (the same number of elements), even if the elements themselves are different
The set {1, 2, 3} and the set {a, b, c} are equivalent sets because they both have three elements.
O conjunto {1, 2, 3} e o conjunto {a, b, c} são conjuntos equivalentes porque ambos têm três elementos.
2. Sets between which a one-to-one correspondence can be established
These equivalent sets can be paired element by element without any remainder.
Esses conjuntos equivalentes podem ser emparelhados elemento por elemento sem sobra.
This is a technical mathematical term used uniformly in both Brazilian and Portuguese academic contexts. It appears frequently in set theory courses at secondary and university levels. The concept is fundamental to understanding cardinality in mathematics education across all Portuguese-speaking regions.