The vertices of triangle shaded region are .
Therefore shaded region have three solid boundary lines and let be these lines are \ \
.
The two points on the solid line are
.
To find the slope of solid line , substitute the values of
in the slope formula
.
.
To find the y - intercept of solid line , substitute the values of
in the slope - intercept form or
.
.
Therefore solid line equation is
. Because the shaded region is below the solid line
, the inequality is
.
The two points on the solid line are
and the solid line
intersect the y - axis at
, so the y - intercept of the second solid line is
.
To find the slope of solid line , substitute the values of
in the slope formula
.
.
To find the equation of solid line , substitute the values of
in the slope - intercept form or
.
Therefore solid line equation is
. Because the shaded region is above the solid line
, the inequality is
.
The two points on the solid line are
and the solid line
intersect the y - axis at
, so the y - intercept of the second solid line is
.
To find the slope of solid line , substitute the values of
in the slope formula
.
.
To find the equation of solid line , substitute the values of
in the slope - intercept form or
.
Therefore solid line equation is
. Because the shaded region is above the solid line
, the inequality is
.
The system of inequalities are .