Question

graph the set of numbers given in interval - notation. then write the inequality statement in x describing the numbers graphed. (-∞, - 6) choose the correct graph below.

Explanation:

Step1: Analyze interval notation

The interval $(-\infty, - 6)$ represents all real - numbers less than $-6$. The open - parenthesis next to $-\infty$ and $-6$ means that $-\infty$ (which is not a real number) and $-6$ are not included in the set.

Step2: Identify the graph

On a number line, for the set of numbers $x<-6$, we have an open circle at $-6$ and an arrow pointing to the left (towards negative infinity).

Answer:

The graph with an open circle at $-6$ and an arrow pointing to the left is the correct one. The inequality statement is $x < - 6$.