Final answer:
The theorem states that if a real number x is less than 0.25, then the absolute value of (0.25 - x) is equal to x.
Step-by-step explanation:
The theorem states that for any real number x, if it is less than 0.25, then the absolute value of (0.25 - x) will be equal to x. In other words, if x is a small number compared to 0.25, then (0.25 - x) will be approximately equal to x.
For example, if x = 0.1, then (0.25 - x) = (0.25 - 0.1) = 0.15, which is approximately equal to x.
This theorem is useful in various mathematical applications where we need to work with numbers close to 0.25.