Here is the number line graph for the inequalities $x \geq 7$ and $x \leq -7$. As you can see, the two intervals are highlighted, with solid dots at $x = -7$ and $x = 7$ to indicate that these values are included in the solution set.

Do you have any questions about this graph or would you like further details?

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Here are some related questions to explore:

1. How would the graph look if the inequalities were strict (i.e., $x > 7$ and $x < -7$)?
2. How would we represent a compound inequality like $-7 \leq x \leq 7$ on a number line?
3. How do you graph inequalities on a coordinate plane instead of a number line?
4. What types of functions might have solutions in two disjoint regions like this?
5. How would you write the solution set for this inequality in interval notation?

Tip: When graphing inequalities, solid dots indicate "greater than or equal to" or "less than or equal to," while open dots indicate "greater than" or "less than" without including the endpoint.