Question

select the graph that best represents the inequality.
x < -20

Explanation:

Step1: Understand inequality symbol

The symbol $<$ means strictly less than. So $x < - 20$ includes all values of $x$ that are less than -20 and does not include -20 itself.

Step2: Identify graph representation

On a number - line graph, a strict inequality ($<$ or $>$) is represented by an open circle at the boundary point and an arrow pointing in the direction of the solutions. For $x < - 20$, we put an open circle at -20 and the arrow should point to the left (towards smaller numbers).

Answer:

The first graph (the one with an open circle at -20 and the arrow pointing to the left).