Step 1 :The first step to solve the inequality is to isolate the variable x. We can do this by subtracting 5 from both sides of the inequality and then dividing by 2.
Step 2 :After solving the inequality, we get \(x \leq 3\). This means that any value of x that is less than or equal to 3 will satisfy the inequality.
Step 3 :Now, we need to graph this solution on a number line. The graph of the solution on a number line is a line extending from \(x = 3\) to negative infinity, with a closed circle at \(x = 3\) to indicate that \(x = 3\) is included in the solution.
Step 4 :\(\boxed{x \leq 3}\) is the final answer to the inequality \(2x + 5 \leq 11\).