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-or-equal-to 2 x minus 4

y≥2x−4
y greater-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 want to include all points that lie above this line.

Since the line is solid, the inequality includes points on the line as well. Therefore, the correct inequality to represent the shaded region above the line is:

\( y \geq 2x - 4 \)

So, the correct option is:

y≥2x−4
(y greater-than-or-equal-to 2 x minus 4)