To graph the inequality \( x > 6 \), follow these steps:
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Draw a Number Line: Start by drawing a horizontal line that represents the number line.
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Mark the Number 6: Locate the point corresponding to \( x = 6 \) on the number line.
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Open Circle at 6: Since \( x > 6 \) does not include 6, place an open circle (an empty circle) at the point representing 6. This indicates that 6 is not included in the solution set.
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Draw a Ray: From the open circle at 6, draw a ray (a line with one endpoint) extending to the right (towards positive infinity) to show all numbers greater than 6.
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Label the Graph (optional): You may label the graph with the inequality \( x > 6 \) for clarity.
The resulting graph will visually display the region where \( x \) can take values greater than 6.