Question

1. which graph represents the solution to $x \leq -2$?

a. closed circle at -2 with shading to the left
b. open circle at -2 with shading to the left
c. open circle at -2 with shading to the right
d. closed circle at -2 with shading to the right

Explanation:

Step1: Analyze inequality symbol

The inequality is $x \leq -2$. The $\leq$ symbol means $x$ can equal $-2$, so we use a closed circle at $-2$.

Step2: Determine shading direction

Values of $x$ less than $-2$ are to the left of $-2$ on a number line, so we shade left.

Answer:

a. Closed circle at -2 with shading to the left