To solve the inequality \(2x + 5 < 11\), follow these steps:
Step 1: Subtract 5 from both sides:
\[2x + 5 - 5 < 11 - 5\]
\[2x < 6\]
Step 2: Divide both sides by 2:
\[x < 3\]
Step 3: Write the solution in interval notation:
\((-\infty, 3)\)
For the number line that shows the solution to this inequality \(x < 3\), it should have an open circle at 3 (indicating that 3 is not included) and a line extending to the left towards negative infinity.
If you have specific response options for the number line, please provide them to assist further!