To find the error interval for a number $x$ rounded to 2 decimal places as 7.19, we need to determine the range within which the true value of $x$ could lie before it was rounded.

When a number is rounded to 2 decimal places, the rounding error can go up to ±0.005. Therefore, the error interval for $x$ is calculated as follows:

1. Lower bound: $7.19 - 0.005 = 7.185$
2. Upper bound: $7.19 + 0.005 = 7.195$

Thus, the error interval for $x$ is: $7.185 \leq x < 7.195$

This means the true value of $x$ lies somewhere in this range.

Would you like more details on error intervals or have any questions?

Here are five related questions for further practice:

1. What is the error interval for a number rounded to 2 decimal places as 5.47?
2. How would you determine the error interval if a number is rounded to 1 decimal place?
3. What is the error interval for a number rounded to the nearest integer of 12?
4. Can you explain the difference between an inclusive and exclusive bound in an interval?
5. If a number $y$ is rounded to 3 decimal places as 8.123, what is the error interval?

Tip: Remember that for numbers rounded to $n$ decimal places, the rounding error is ±0.5 in the $n$-th decimal place.