Of the cars sold during the month of july, 91 had air conditioning, 104 had automatic transmission, and 80 had power steering. 8 cars had all three of these extras. 20 cars had none of these extras. 16 cars had only air conditioning, 65 cars had only automatic transmissions, and 28 cars had only power steering. 12 cars had both automatic transmission and power steering. how many cars had air conditioning and automatic transmission but not power steering?

27

Step-by-step explanation:

If 8 cars had all three of the extras, and 12 cars had both automatic transmission and power steering, the number of cars with ONLY automatic transmission and power steering is:

N(T + S) = 12-8 = 4

The number of cars had that had air conditioning and automatic transmission but not power steering is given by the number of cars that had automatic transmission subtracted by the number of cars that had only automatic transmissions, the number of cars with ONLY automatic transmission and power steering and the number of cars that had all three of the extras:

27 cars had air conditioning and automatic transmission but not power steering.

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

step-by-step explanation:

b and c