The image shows the set notation:

$b = \{x \mid |x| \geq 5\}$

This represents the set of all real numbers $x$ such that the absolute value of $x$ is greater than or equal to 5.

Interpretation:

• The absolute value $|x| \geq 5$ means that $x$ is either less than or equal to $-5$ or greater than or equal to $5$.

In interval notation, this would be expressed as: $x \in (-\infty, -5] \cup [5, \infty)$

This describes two disjoint intervals on the number line:

• $x \leq -5$
• $x \geq 5$

Would you like any further details on this concept or have any questions?

Related Questions:

1. How do we solve other inequalities involving absolute values?
2. What is the geometric interpretation of $|x| \geq 5$ on the number line?
3. Can you describe the difference between $|x| > 5$ and $|x| \geq 5$?
4. How can we express the solution of $|x| \leq 5$ in set notation?
5. How do we handle compound inequalities involving absolute values, such as $|x-2| \leq 4$?

Tip: Always remember that absolute value inequalities split into two cases: one for the positive and one for the negative side of the number line.