The graph is in the first quadrant only, and the - and -axes are solid, so and . Also, the boundary lines of one of the compound
inequalities in the system are and . Since is solid, is dashed, and the region between them is coloured, the inequality is
The boundary lines of the other compound inequality in the system are and . Since both lines are solid, and the region
between them is coloured, the inequality is .
The boundary line of the additional inequality in the system passes through the points
and . Calculate the line's slope, or , as follows:
The line's -intercept, or , is 8, so in slope-intercept form, or , the line's equation is . The line is solid, and the region
below it is coloured, so the inequality is . Rewrite the inequality in standard form.
This means the system of inequalities whose solution is represented by the graph is , , , , .