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
y greater than 2 x minus 4

Answer 1

To model the graph of the solid line \( y = 2x - 4 \) with a shaded region above the line, we need to derive an appropriate inequality.

Since the region above the line is shaded, we want to represent all points where \( y \) is greater than or equal to the line. Therefore, the correct inequality would be:

\[ y \geq 2x - 4 \]

This represents all the points above and on the line.

The correct option from the provided responses is:

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