Question

graph the set ${x mid -6 < x < -1}$ on the number line.
then, write the set using interval notation.

Explanation:

Step1: Identify interval endpoints

The set is defined by $-6 < x < -1$, so endpoints are $-6$ and $-1$.

Step2: Graph on number line

• Draw open circles at $x=-6$ and $x=-1$ (since inequalities are strict, endpoints are not included).
• Shade the region between the two open circles on the number line.

Step3: Write interval notation

Use parentheses for strict inequalities: $(-6, -1)$

Answer:

Graph: Open circles at $-6$ and $-1$, shaded region between them.
Interval notation: $(-6, -1)$