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-or-equal-to 2 x minus 4

y>2x−4

Answer 1

To write a two-variable linear inequality that represents the graph of the line \( y = 2x - 4 \) with a shaded region above the line, we need to use the correct inequality sign.

Since the region is shaded above the line, the inequality must allow for values of \( y \) that are greater than or equal to the values given by the line.

Therefore, the correct inequality is:

\[ y \geq 2x - 4 \]

In the context of the options provided, the correct response is:

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