True

Explanation:
Predecessor refers to the number that comes before a given number. In the case of two-digit numbers, the predecessor will always be a single-digit number.

Example:
Let's take the two-digit number 37 as an example. To find its predecessor, we need to subtract 1 from it.
37 - 1 = 36

As we can see, the predecessor of the two-digit number 37 is the single-digit number 36.

This example demonstrates that the predecessor of a two-digit number is always a single-digit number.

Reasoning:
To understand why the predecessor of a two-digit number is always a single-digit number, let's consider the number system. The number system we use is called the decimal system, which is based on powers of 10. In this system, each digit represents a value from 0 to 9.

A two-digit number is made up of two digits, where the left digit represents the tens place and the right digit represents the ones place. The highest value the left digit can have is 9, as there are only 9 possible digits from 0 to 9. The right digit can also have a value from 0 to 9.

When we subtract 1 from a two-digit number, the ones place digit decreases by 1. If the ones place digit is 0, then the tens place digit decreases by 1. However, regardless of the value of the tens place digit, the result will always be a two-digit number.

Since the predecessor of a two-digit number can never be a single-digit number, the statement "The predecessor of a two-digit number is never a single-digit number" is true.

False as 10 - 1 is 9 ( single digit)