Question

Theorem: For any real number x, x |x-5| ≥ 5. In a proof by cases of the theorem, there are two cases. One of the cases is that x > 5. What is the other case?

1) x < 5
2) x = 5
3) x ≤ 5
4) x ≠ 5

Answer 1

The other case in the proof by cases is that x < 5.

Step-by-step explanation:

The other case in the proof by cases is that x < 5. In this case, we can consider examples where x is any number less than 5, such as x = 4, x = 3, etc.