Q:

write an inequality and that represents the graph.

Accepted Solution

A:
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 thatThe solution of the inequality is the shaded area below the solid lineThe slope of the solid line is negativeThe 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]thereforeThe inequality that represent the graph is[tex]y\leq -x+2[/tex]Part 17) we know thatThe solution of the inequality is the shaded area above the dashed lineThe slope of the dashed line is positiveThe 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]thereforeThe inequality that represent the graph is[tex]y>\frac{1}{3}x-1[/tex]