Question

graph this inequality:
$x > -1$
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 $x > -1$ is the vertical line $x=-1$. Since the inequality is $>$ (not $\geq$), the line is dotted (points on $x=-1$ are not included).

Step2: Plot boundary points

Plot points where $x=-1$, e.g., $(-1, -10)$, $(-1, 0)$, $(-1, 10)$, then draw a dotted vertical line through them.

Step3: Determine shaded region

The inequality $x > -1$ means all points where the $x$-coordinate is greater than -1. This is the region to the right of the dotted line $x=-1$.

Answer:

1. Draw a dotted vertical line through $x=-1$ (using points like $(-1, -10)$, $(-1, 0)$, $(-1, 10)$).
2. Shade the entire region to the right of this dotted line.