The latest available data showed health expenditures were $8,086 per person in the united states or 17.6% of gross domestic product (centers for medicare & medicaid services website, april 1, 2012). use $8,086 as the population mean and suppose a survey research firm will take a sample of 100 people to investigate the nature of their health expenditures. assume the population standard deviation is $2,500.

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

what