Observe the graph, the shaded region have two boundary solid lines.
\The two points on the first solid line are and the first solid line intersect the y - axis at
, so the y - intercept of the solid line is 5.
To find the slope of solid line, substitute the values of in the slope formula
.
.
To find the equation of first solid line, substitute the values of in the slope - intercept form or
.
Therefore first solid line equation is . Because the shaded region is below the solid line, the inequality is
.
Observe the graph, the two points on the second solid line are and the second solid line intersect the y - axis at
, so the y - intercept of the second solid line is 2.
To find the slope of second solid line, substitute the values of in the slope formula
.
.
To find the equation of second solid line, substitute the values of in the slope - intercept form or
.
Therefore second solid line equation is . Because the shaded region is above the second solid line, the inequality is
.
The system of inequalities are .