Answer
See below:
Work Step by Step
Graph each inequality on the same plane.
Step 1: Convert the inequality to an equation by replacing inequality by = sign.
Equation 1: \[x\le 3\]
\[x=3\]
Equation 2: \[y>-2\]
\[y=-2\]
Step 2: Graph the equation using intercept form or slope-intercept form.
Equation 1: \[x\le 3\]
The equation does not contain y. For any value of y, x is constant. The graph will be parallel to the y-axis.
The line passes through \[\left\{ \ldots \left( 3,-1 \right),\left( 3,0 \right),\left( 3,1 \right)\ldots \right\}\]
The line is solid since the inequality contains \[\le \]the symbol.
Equation 2: \[y>-2\]
The equation does not contain x. For any value of x, y is constant. The graph will be parallel to the x-axis.
The line passes through \[\left\{ \ldots \left( -1,-2 \right),\left( 0,-2 \right),\left( 1,-2 \right)\ldots \right\}\]
The line is dashed since the inequality contains the > symbol.
