Eula needs to buy binders that cost $4 each and notebooks that cost $2 each. she has $20. the graph of the inequality 4x + 2y ≤ 20, which represents the situation, is shown. what is the greatest number of binders eula can buy? what is the greatest number of notebooks eula can buy? if eula buys 7 notebooks, what is the greatest number of binders she can buy?

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

you'll just earn points here

step-by-step explanation: