Using number sets, it is found that:
The Lions team is composed by: Lydia, Ryan and Chan.
The Tigers team is composed by: Marcy, Caleb and Anya.
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- Rational numbers are numbers that can be represented by fractions, which are integers, terminating decimals and repeating decimals.
- Non-terminating decimals are irrational.
- The square root of 38 is a non-terminating decimal, thus, it is irrational, and Lydia is on the Lions. Chan is also on the Lions for the same reason, as the square root of 34 is a non-terminating decimal.
- Marcy's number is 6.3444444..., which is a repeating decimal, thus, it is rational and she is on the Tigers. Similarly, Anya's number is 6.343434..., which is also repeating and thus she is on the Tigers.
- The square root of 36 is 6, which is an integer number, thus rational and Caleb is on the Tigers.
- Ryan number is a non-repeating decimal, thus it is irrational and he is on the Lions.
A similar problem is given at https://brainly.com/question/10814303