proper subset of set x {3, 7, 11, 21, 39, 43, 567},

http://www.mathwords.com/p/proper_subset.htm

To find a proper subset of set x {3, 7, 11, 21, 39, 43, 567}, we need to select one or more elements from the given set while ensuring that it is not the same as the original set x. A proper subset must be a subset of the original set x but not equal to it.

Here are some possible proper subsets of set x:
- {3, 7, 11, 21, 39, 43} (excluding 567)
- {3, 7, 11, 21, 39} (excluding 43 and 567)
- {7, 11, 21, 39, 43} (excluding 3 and 567)
- {3, 39, 43} (excluding 7, 11, 21, and 567)

These are just a few examples, and there can be many more proper subsets of set x. To create a proper subset, you can select any combination of elements from set x while ensuring that it is not equal to the original set x.