## Algebra 1

$y=-7x+12$ 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.