* General use: The rivalry between the two teams was intense, with both sides determined to win.
* Specific example: The rivalry between Coke and Pepsi is one of the longest-running in the beverage industry.
* Figurative language: The rivalry between the two siblings for their mother's attention was palpable.
* With a modifier: The fierce rivalry between the two nations stemmed from a long-standing border dispute.
* In a longer sentence: The rivalry between the two schools was so intense that it spilled over into the community, with parents and even teachers taking sides.