Step 1 :The question is asking for all the values that make the inequality \(r<7\) true. This means we need to find all the numbers in the list that are less than 7.
Step 2 :Given values are \([-1, 6, 6.999, 7.01, 10, 2, 6.9, 7, 7.1, 12, 4, 6.99, 7.001, 8, 15]\).
Step 3 :From the given values, the numbers that are less than 7 are \([-1, 2, 4, 6, 6.9, 6.99, 6.999]\).
Step 4 :Final Answer: The values that make the inequality \(r<7\) true are \(\boxed{-1, 2, 4, 6, 6.9, 6.99, 6.999}\).