Solve the inequality and graph the solution.

Question

w–18<
–
20
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:

\[ w - 18 < -20 \]

1. Add 18 to both sides to isolate \( w \):

   \[ w < -20 + 18 \] \[ w < -2 \]

Now we can graph the solution. The solution means that \( w \) can take any value less than \(-2\).

Graphing:

1. Plot the endpoint at \(-2\).
2. Since the inequality is strict (no "equal to" part), we use an open circle at \(-2\), indicating that \(-2\) is not included in the solution.
3. The solution is all values less than \(-2\), which we represent as a ray extending to negative infinity.

The graph will look like this:

<---( -2 )--------------------->

Where:

• The parenthesis around \(-2\) indicates it's an open endpoint.
• The arrow indicates the direction towards negative infinity.

So, the final visual representation of the solution \( w < -2 \) is shown as above with the open circle at \(-2\).