What are continuous intervals?

A continuous interval is just a group of numbers that all sit right next to each other on the number line, like a never-ending train ride where every car has one more number than the last.

Imagine you're at the park, and there's a long line of kids waiting for ice cream. A continuous interval is like that whole line, everyone’s right next to each other, no gaps or jumps. If the first kid in line is number 2 and the last kid is number 7, then every kid from 2 to 7 is there: 2, 3, 4, 5, 6, 7.

Now imagine if one kid suddenly disappeared, that would be like a gap or a break, so it wouldn’t be a continuous interval anymore. But if all the kids are still there and just keep going from start to finish, then you’ve got yourself a perfect continuous interval!

A ruler is another great example, every inch from 0 to 12 is one long line with no breaks, like a continuous interval from 0 to 12. If you measure something and it goes all the way from 3 to 8 inches, that’s also a continuous interval, just a shorter one!