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 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, we need to choose an inequality that includes points above the line.

Since the line itself is solid, the inequality must include the line itself, which means we should use either \( \geq \) or \( \leq \). Additionally, since we want the area above the line, we should use \( \geq \).

Thus, the correct inequality is:

\( y \geq 2x - 4 \)

So, the correct option is:

y≥2x−4