Given:
![x>10](https://img.qammunity.org/2023/formulas/mathematics/high-school/otpsr5ilbvs1c4r7lbwpye95r3caxi16jr.png)
To find:
The smallest integer value x can have.
Step-by-step explanation:
Let us write the solution set first.
The solution set for the given inequality is,
![x=\lbrace11,12,13,14,......\rbrace](https://img.qammunity.org/2023/formulas/mathematics/high-school/k0obalozy1p24ywsje5p4cgfgwsx9sqiz6.png)
From the set,
We observe that the smallest integer value is 11.
Final answer:
The smallest integer value is 11.