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 less than 2 x minus 4

y>2x−4
y greater than 2 x minus 4

y≥2x−4

Answer 1

The inequality you're looking for must represent the region above the solid line \( y = 2x - 4 \). This means we want \( y \) to be greater than or equal to \( 2x - 4 \) because the line is solid, indicating that points on the line are included in the solution.

So, the correct inequality is:

\( y \geq 2x - 4 \)

Among the options you provided, this corresponds to:

y ≥ 2x - 4