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QUESTION IMAGE

graph. x > 10 to draw a ray, plot an endpoint and select an arrow. sele…

Question

graph.
x > 10
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.
0 2 4 6 8 10
submit

Explanation:

Step1: Analyze the inequality

The inequality is \( x > 10 \). This means we need to represent all real numbers greater than 10 on the number line.

Step2: Determine the endpoint type

Since the inequality is strict (\(>\), not \(\geq\)), the endpoint at 10 should be an open circle (to indicate that 10 is not included in the solution set).

Step3: Draw the ray

We place an open circle at 10 and then draw a ray starting from this open circle and extending to the right (towards positive infinity) to represent all numbers greater than 10.

(Note: Since this is a graphical task, the actual drawing would involve interacting with the provided number line interface. The steps above describe the conceptual process for creating the correct graph.)

Answer:

To graph \( x > 10 \):

  1. Locate 10 on the number line.
  2. Place an open circle at 10 (because \( x \) is strictly greater than 10, so 10 is not included).
  3. Draw a ray starting from the open circle at 10 and pointing to the right (towards values greater than 10) to represent all numbers greater than 10.