Question

graph this inequality:
$x > -3$
plot points on the boundary line. select the line to switch between solid and dotted. select a region to shade it.

Explanation:

Step1: Identify boundary line

The boundary of $x > -3$ is the vertical line $x=-3$. Since the inequality is $>$ (not $\geq$), the line is dotted (points on the line are not included).

Step2: Plot boundary points

Plot points where $x=-3$ for any $y$-value, e.g., $(-3, 0)$, $(-3, 2)$, $(-3, -2)$, then draw a dotted vertical line through them.

Step3: Determine shaded region

The inequality $x > -3$ means all points where the $x$-coordinate is greater than $-3$. This is the region to the right of the dotted line $x=-3$.

Answer:

1. Draw a dotted vertical line at $x=-3$ (through points like $(-3,0)$, $(-3,2)$, $(-3,-2)$).
2. Shade all area to the right of this dotted line.