Answer
G
Work Step by Step
$y=-7x+12$ and $y=-2/3*x-2/3$
$y\leq-7x+12$ and $y\leq-2/3*x-2/3$
$y\leq-7x+12$
Let's test $(0,0)$:
$y\leq-7x+12$
$0\leq-7*0+12$
$0\leq 0+12$
$0\leq 12$ (true statement)
Since this is a true statement, we would shade on the left side of the line. The two areas to be shaded would be areas A and B.
Let's test $(0,0)$ on the other line.
$y\leq-2/3*x-2/3$
$0\leq-2/3*0-2/3$
$0 \leq0-2/3$
$0\leq -2/3$ (false statement)
Since this is a false statement, we would shade the underside of the line (areas B and C). The only region covered in both inequalities is region B.
