the system of inequalities is
step-by-step explanation:
step 1
find the equation of the dashed line
we have the points
(0,0) and (3,1)
the line passes through the origin, so, is a direct variation
find the slope
the equation of the dashed line is
the solution of the inequality a s the shaded area above the dashed line
therefore
the equation of the inequality a is
step 2
find the equation of the solid line
we have the points
(4,0) and (0,4)
find the slope
the equation of the solid line is
the solution of the inequality b s the shaded area below the solid line
therefore
the equation of the inequality b is
step 3
the system of inequalities is