S={All integer x:10 x 30}

1 answer

It looks like you're trying to define a set \( S \) that includes all integer values \( x \) within a certain range. However, the notation you provided, "10 x 30", is not clear. If you're trying to specify integers \( x \) such that \( x \) falls between 10 and 30, you likely mean:

\[ S = { x \in \mathbb{Z} : 10 \leq x \leq 30 } \]

This means the set \( S \) consists of all integers \( x \) that are greater than or equal to 10 and less than or equal to 30.

So, the set \( S \) can be explicitly described as:

\[ S = { 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30 } \]

This set has 21 elements in total. If you meant a different range, please clarify!