Answer:
Part 16) [tex]y\leq -x+2[/tex]
Part 17) [tex]y>\frac{1}{3}x-1[/tex]
Step-by-step explanation:
Part 16) we know that
The solution of the inequality is the shaded area below the solid line
The slope of the solid line is negative
The y-intercept of the solid line is the point (0,2)
The x-intercept of the solid line is the point (2,0)
The slope of the solid line is
[tex]m=(0-2)/(2-0)=-1[/tex]
The linear equation of the solid line in slope intercept form is
[tex]y=-x+2[/tex]
therefore
The inequality that represent the graph is
[tex]y\leq -x+2[/tex]
Part 17) we know that
The solution of the inequality is the shaded area above the dashed line
The slope of the dashed line is positive
The y-intercept of the dashed line is the point (0,-1)
The x-intercept of the dashed line is the point (3,0)
The slope of the dashed line is
[tex]m=(0+1)/(3-0)=\frac{1}{3}[/tex]
The linear equation of the dashed line in slope intercept form is
[tex]y=\frac{1}{3}x-1[/tex]
therefore
The inequality that represent the graph is
[tex]y>\frac{1}{3}x-1[/tex]
