1. The problem asks to identify if there is an error in the proof about Luke's age. 2. Step 1 states: "Luke's age is greater than 10 and less than or equal to 17," which mathematically means $$10 < \text{age} \leq 17$$. 3. Step 2 says Luke could be 13 years old, which fits the inequality since 13 is between 10 and 17. 4. Step 3 says Luke could be 10 years old, but this contradicts Step 1 because the age must be strictly greater than 10, so 10 is not allowed. 5. Step 4 says Luke could be 17 years old, which is allowed since the age can be equal to 17. 6. Therefore, the first error occurs at Step 3 where it claims Luke could be 10 years old, violating the condition from Step 1. Final answer: Step 3 contains the first error.