A 2-bedroom apartment that rents for $520 a month is $40 less than twice the cost of a 1-bedroom apartment. What is the monthly rent of a 1-bedroom apartment?​

monthly rent of a 1-bedroom apartment= $280

Step-by-step explanation:

Let the  cost of 1 bed room apartment = x

And the cost of two bedroom apartment= 2x-40

Since the cost of of two bedroom apartment = $520  

Then the cost of one bed room part will be expressed as

520= 2x- 40

520+40 = 2x

560= 2x

x= 560/ 2

x= 280

Therefore the  cost of 1 bed room apartment = x= $280

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is