It appears that you might be trying to define a set \( S \) of all integers \( x \) that satisfy a specific condition. However, the notation \( 10x30 \) is not clear. It seems like there could be a typo or miscommunication in the expression.
If you meant to express a condition such as \( 10 \leq x \leq 30 \) (i.e., \( x \) is an integer between 10 and 30 inclusive), then the set \( S \) would be:
\[ S = { x \in \mathbb{Z} : 10 \leq x \leq 30 } \]
In this case, \( S \) would include all integers from 10 to 30: \[ S = { 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30 } \]
If you meant something different, please clarify, and I'd be happy to help you further!