Write a two-variable linear inequality that models the graph of the solid line y=2x−4 with a shaded region above the line. Which of the following options is correct?(1 point)

Question

Responses

y<2x−4
y less than 2 x minus 4

y≤2x−4
y less-than-or-equal-to 2 x minus 4

y>2x−4
y greater than 2 x minus 4

y≥2x−4

Answer 1

To model the graph of the solid line \( y = 2x - 4 \) with a shaded region above the line, you would use the inequality that expresses "y is greater than or equal to the line."

Since the line is solid, it indicates that points on the line are included in the solution set. Therefore, the proper inequality to use is:

\[ y \geq 2x - 4 \]

So, the correct option is:

y ≥ 2x - 4