Question

inequalities that form a system whose graph is the shaded region shown above. A. 8x−5y≥−20 B. y≤−4 C. 8x−5y≤−20 D. x≥−4 E. y≥−4 F. 8x+3y≤12 G. 8x+3y≥12 H. y≤4

Answer 1

The correct inequality that forms the shaded region is 8x-5y<=-20.

Step-by-step explanation:

The correct answer is A. 8x-5y<=-20.

The shaded region represents the solution to the system of inequalities. To determine which inequality forms this shaded region, we can examine the slope of the lines. From the graphs of the linear equations, we can see that the line with a slope of 8 is included in the shaded region, while the lines with slopes of -4 and -20 are not. This means that the correct inequality is the one with a slope of 8, which is 8x-5y<=-20.