Question

question
express the interval using two different representations.
$x < -6$ or $x > -1$
answer attempt 1 out of 2
interval notation:
number line:
click and drag to plot line.

Explanation:

Step1: Convert to interval notation

For $x < -6$, the interval is $(-\infty, -6)$. For $x > -1$, the interval is $(-1, \infty)$. Combine with union symbol:
$(-\infty, -6) \cup (-1, \infty)$

Step2: Describe number line plotting

1. Open circle at $x=-6$, arrow left.
2. Open circle at $x=-1$, arrow right.

Answer:

Interval Notation: $(-\infty, -6) \cup (-1, \infty)$
Number Line: An open circle at $-6$ with an arrow pointing left (covering all values less than $-6$), and an open circle at $-1$ with an arrow pointing right (covering all values greater than $-1$)