Answer:
[tex]x>4[/tex]
Step-by-step explanation:
Given inequality:
[tex]x+7>11[/tex]
We need to solve the given inequality for solutions of [tex]x[/tex].
In order to solve for the inequality, we will isolate [tex]x[/tex] in one side of the in-equation.
We have,
[tex]x+7>11[/tex]
Subtracting both sides by 7.
[tex]x+7-7>11-7[/tex]
[tex]x>4[/tex]
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.