Answer:
![x>4](https://img.qammunity.org/2020/formulas/mathematics/high-school/rz4ydavgmkcblpg10x2umnwk0y5rfk21ar.png)
Explanation:
Given inequality:
![x+7>11](https://img.qammunity.org/2020/formulas/mathematics/college/92qr82jomdil7l0pn9p4ozkw0xcn9xz0ov.png)
We need to solve the given inequality for solutions of
.
In order to solve for the inequality, we will isolate
in one side of the in-equation.
We have,
![x+7>11](https://img.qammunity.org/2020/formulas/mathematics/college/92qr82jomdil7l0pn9p4ozkw0xcn9xz0ov.png)
Subtracting both sides by 7.
![x+7-7>11-7](https://img.qammunity.org/2020/formulas/mathematics/college/zmohkoxe19eqljr3ovkx0pwc675glw562v.png)
![x>4](https://img.qammunity.org/2020/formulas/mathematics/high-school/rz4ydavgmkcblpg10x2umnwk0y5rfk21ar.png)
Thus, the solution of the given inequality is all real numbers greater than 4.
The solution in interval form can be written as (4,∞).
The graph for the inequality is shown below.