The question asks for the error interval for a number $y$, which is rounded to 14.3 to 1 decimal place.

When a number is rounded to 1 decimal place (1 d.p.), the error interval is determined by finding the range within which the actual value of the number lies. The error interval for rounding to 1 decimal place is $\pm 0.05$, as this is half the value of the place being rounded.

Solution:

• The lower bound of the error interval is $14.3 - 0.05 = 14.25$.
• The upper bound of the error interval is $14.3 + 0.05 = 14.35$.

Thus, the error interval for $y$ is: $14.25 \leq y < 14.35$

This means $y$ could be any value from 14.25 up to, but not including, 14.35.

Would you like more details or further explanation?

Here are 5 related questions to expand your understanding:

1. What is the error interval for a number rounded to 2 decimal places?
2. How do you calculate the error interval for a number rounded to the nearest whole number?
3. What is the significance of using a strict inequality for the upper bound of an error interval?
4. How would the error interval change if $y$ were rounded to 2 significant figures instead of 1 decimal place?
5. Can you determine the error interval for a number rounded to the nearest tenth?

Tip: When working with error intervals, always remember that the upper bound is exclusive when writing the interval using inequalities!