Solve the inequality and graph the solution.

Question

n+9<10
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 \( n + 9 < 10 \), we first isolate \( n \):

1. Subtract 9 from both sides: \[ n < 10 - 9 \] \[ n < 1 \]

The solution to the inequality is \( n < 1 \).

Graphing the Solution

1. Endpoints:

   • The inequality \( n < 1 \) has a single endpoint at 1.

2. Open or Closed Endpoint:

   • Since the inequality is strictly less than (\(<\)), we use an open circle at 1 to indicate that 1 is not included in the solution.

3. Middle of the Segment/Ray to Delete:

   • The solution includes all values less than 1; therefore, we indicate the region to the left of 1. We will keep this entire ray.

Final Graph:

• Place an open circle at 1.
• Shade the area to the left of 1, indicating all the values that are less than 1.

<------------------(1)---------------->

Here, the line extends infinitely to the left of the open circle at 1, indicating that all numbers less than 1 are included in the solution set.