Café owner is designing a new menu and wants to include a decorative border around the outside of her food listings. due to the cost of printing, the border should have an area of 48 square inches. the width of the border needs to be uniform around the entire menu. she has already determined that her food listings will fit within a 13-inch by 9-inch rectangular area.

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