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: \[yx-4\]
\[y=x-4\]
Step 2: Graph the equation using intercept form or slope–intercept form.
Equation 1: \[yx-4\]
Make \[x=0\] to find y-intercept:
\[\begin{align}
& y=x-4 \\
& y=0-4 \\
& y=-4
\end{align}\]
Make \[y=0\] to find x-intercept:
\[\begin{align}
& y=x-4 \\
& 0=x-4 \\
& x=4
\end{align}\]
The line passes through \[\left( 0,-4 \right)\] and \[\left( 4,0 \right)\]. The line is dashed since the inequality contains > symbol.
Step 3: Choose a test point. The origin \[\left( 0,0 \right)\] is the test point. Substituting in the inequality,
Equation 1: \[yx-4\]
\[0>-4\]
The statement is true. The graph contains the test point.
