CPM Homework Help : AC Problem 11-12

Match each graph below with the correct inequality.

$y>-x+2$

$y<2x-3$

$y\ge\frac{1}{2}x$

$y\le-\frac{2}{3}x+2$

1) A 4 quadrant coordinate plane has a dashed line that goes through the points (0, comma negative 3) and (1, comma negative 1) which divides the plane into 2 regions. The region to the right and below the line is shaded.

2) A 4 quadrant coordinate plane has a solid line that goes through the points (0, comma 2) and (3, comma 0) which divides the plane into 2 regions. The region to the left and below the line is shaded.

3) A 4 quadrant coordinate plane has a dashed line that goes through the points (0, comma 2) and (2, comma 0) which divides the plane into 2 regions. The region to the right and above the line is shaded.

4) A 4 quadrant coordinate plane has a dashed line that goes through the points (0, comma 0) and (2, comma 1) which divides the plane into 2 regions. The region to the left and above the line is shaded.

Hint (a):

Which graph represents
the line $y=-x+2$ ?

Answer (a):

Inequality (a) matches
graph (3).

Answer (b):

Inequality (b) matches graph (1).