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-or-equal-to 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 determine the correct inequality. Since the shaded region is above the line, we are looking for an inequality that includes values of \( y \) that are greater than or equal to the values of \( 2x - 4 \).

Thus, the correct option is:

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