or

Graph.
x<6
To draw a ray, plot an endpoint and select an arrow. Select an endpoint to change it from closed to open. Select the middle of the ray to delete it.

1 answer

To graph the inequality \( x < 6 \), follow these steps:

  1. Draw the Number Line: Start by drawing a horizontal line with marked intervals (this is your number line).

  2. Plot the Endpoint: Locate the point where \( x = 6 \) on the number line.

  3. Select the Type of Endpoint: Since the inequality is \( x < 6 \) (not \( \leq \)), you will use an open circle at \( 6 \) to indicate that \( 6 \) is not included in the solution set.

  4. Draw the Ray: From the open circle at \( 6 \), draw a ray extending to the left towards negative infinity. This ray represents all numbers less than \( 6 \).

The final graph should clearly show an open circle at \( 6 \) with a line extending left towards negative infinity, indicating all values less than \( 6 \) are part of the solution set.

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