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Significant figures simply mean the count of non-zero digits and zeros between non-zero digits.
The error interval of x is [tex]150 \le x < 250[/tex]
First, we get the smallest and highest digits that can be approximated to 200
- The smallest digit that can be approximated to 200 is 150
- The highest digit that can be approximated to 200 is 249.9...
249.9.... can simply be represented as less than 250
So, we have:
[tex]Smallest = 150[/tex]
[tex]Largest < 250[/tex]
The interval is then represented as:
[tex]Smallest \le x < Largest[/tex]
So, we have:
[tex]150 \le x < 250[/tex]
Hence, the error interval is: [tex]150 \le x < 250[/tex]
Read more about significant figures at:
https://brainly.com/question/24126602