Sabrina has a rug with a perimeter of 18 feet. she decides to place a border around the rug so that the new length of the rug is 8 feet and the width is 4 feet. the border is the same width all the way around. the equation which represents x, the width of the border is 2(8-2x)+2(4-2x)=18 what is the width of the border

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

a

step-by-step explanation: