Solve the inequality and graph the solution.

Question

a+17>11
Plot the endpoints. Select an endpoint to change it from closed to open. Select the middle of the segment, ray, or line to delete it.

Answer 1

To solve the inequality \( a + 17 > 11 \), we start by isolating \( a \).

1. Subtract 17 from both sides: \[ a + 17 - 17 > 11 - 17 \] This simplifies to: \[ a > -6 \]

The solution to the inequality is \( a > -6 \).

To graph the solution:

1. Plot the endpoint: Since the inequality is strictly greater than (\( > \)), we will use an open circle at -6. This indicates that -6 is not included in the solution.

2. Delete the line to the left of -6: We graph a ray starting at -6 and continuing to the right, towards positive infinity.

The graphical representation would look like this:

• An open circle at -6 (not filled, indicating that -6 is not included)
• A line extending to the right from -6, indicating all values greater than -6 are included in the solution.

Therefore, the graph visually represents \( a > -6 \) with an open circle at -6 and a ray extending rightward.