Answer
System: $(5,1)$
Work Step by Step
To start graphing, first find the $x$-intercepts and $y$-intercepts of both inequalities. Then plug in random numbers to plot the rest of the points.
$x-y\geq4$
$x$-intercept: $4$
$y$-intercept: $-4$
$x+y\leq6$
$x$-intercept: 6
$y$-intercept: 6
