Question

graph {x|x < 5 or x > 10}.

Explanation:

Step1: Identify the inequality types

The inequality $x < 5$ represents all real - numbers less than 5 and $x>10$ represents all real - numbers greater than 10.

Step2: Determine the graphing symbols

Since the inequalities are strict ($<$ and $>$), we use open - circles on the number line at $x = 5$ and $x = 10$.

Step3: Draw the graph

For $x < 5$, we draw an arrow to the left of 5 starting from an open - circle at 5. For $x>10$, we draw an arrow to the right of 10 starting from an open - circle at 10.

Answer:

We use an open - circle at 5 and draw an arrow to the left of 5, and use an open - circle at 10 and draw an arrow to the right of 10 on the number line.