The problem asks for the error interval for a number $x$, which when rounded to the nearest integer equals 28.

To determine the error interval, we need to consider the range of values for $x$ that round to 28. The rule for rounding to the nearest integer is that if the decimal part is less than 0.5, we round down, and if it's 0.5 or greater, we round up.

Thus:

• The smallest value that rounds to 28 is 27.5 (just below 28).
• The largest value that rounds to 28 is just before 28.5 (but does not include 28.5 itself).

The error interval for $x$ is then:

$27.5 \leq x < 28.5$

Would you like more details or have any questions about this?

Here are 5 related questions:

1. What is the error interval for a number rounded to the nearest integer of 15?
2. How do you find the error interval for numbers rounded to the nearest tenth?
3. Can an error interval include the rounded number itself?
4. Why is 28.5 not included in the error interval for $x$?
5. What is the difference between rounding up and truncating a number?

Tip: Always consider the boundary values when rounding numbers to avoid mistakes in identifying the error interval.