To graph the inequality \( x \leq 7 \), follow these steps:
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Draw the Number Line: Draw a horizontal line that represents the number line.
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Plot the Point: Find the point \( 7 \) on the number line and mark it.
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Use a Closed Dot: Since the inequality includes \( \leq \) (less than or equal to), place a closed dot at \( 7 \) to indicate that this point is included in the solution set.
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Draw the Ray: From the closed dot at \( 7 \), draw a ray that extends to the left (toward smaller numbers) forever. This reflects all values \( x \) that are less than or equal to \( 7 \).
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Check the Arrow: At the end of the ray, ensure there is an arrow pointing left to indicate that the solution continues infinitely in that direction.
Summary of Key Points for the Graph:
- Closed dot at \( 7 \) (indicating \( 7 \) is included).
- Ray extending to the left of \( 7 \).
This creates a visual representation of the solution to the inequality \( x \leq 7 \).