To graph the inequality \( x < 6 \), follow these steps:
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Draw the Number Line: Start by drawing a horizontal line with marked intervals (this is your number line).
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Plot the Endpoint: Locate the point where \( x = 6 \) on the number line.
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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.
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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.