Answer :

Given:

[tex]x>10[/tex]

To find:

The smallest integer value x can have.

Explanation:

Let us write the solution set first.

The solution set for the given inequality is,

[tex]x=\lbrace11,12,13,14,......\rbrace[/tex]

From the set,

We observe that the smallest integer value is 11.

Final answer:

The smallest integer value is 11.