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: \[x+y<4\]
\[x+y=4\]
Equation 2: \[x-y<4\]
\[x-y=4\]
Step 2: Graph the equation using intercept form or slope-intercept form.
Equation 1: \[x+y<4\]
Make \[x=0\] to find the y-intercept,
\[\begin{align}
& x+y=4 \\
& 0+y=4 \\
& y=4
\end{align}\]
Make \[y=0\] to find x-intercept,
\[\begin{align}
& x+y=4 \\
& x+0=4 \\
& x=4
\end{align}\]
The line passes through \[\left( 0,4 \right)\] and\[\left( 4,0 \right)\]. The line is dashed since the inequality contains
