To solve the inequality:
\[ w - 18 < -20 \]
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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:
- Plot the endpoint at \(-2\).
- 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.
- 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 \(-2\).