Final answer:
To find the values of a and b, solve the given inequality and equation. The values of a can be any real number less than 9, and the values of b can be any real number less than 36.
Step-by-step explanation:
To find the values of a and b, we need to solve the given inequality and equation:
- 15 < 5x < 30
- a < x²
From the first inequality, we can divide all sides by 5 to get 3 < x < 6. This means that x is greater than 3 and less than 6.
Substituting x = 3 and x = 6 into the second inequality, we get:
- a < 9
- a < 36
Therefore, the values of a can be any real number less than 9, and the values of b can be any real number less than 36.