Question

Write a system of linear inequalities that defines the shaded region shown.

Select one:
O a. y> 5 and y < 2
O b. x + 3y <5 and -x+y<0
O c. x>5 and x < 2
O d. y>x-3 and y < 5

Answer 1

The correct answer is d. y>x-3 and y < 5

The shaded region can be defined by two inequalities:

y>x-3 represents the line y = x-3, which is the upper boundary of the shaded region and lies above it.

y < 5 represents the line y = 5, which is the lower boundary of the shaded region and lies below it.

So the system of linear inequalities that defines the shaded region is y>x-3 and y < 5.