Question

Question
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)
Responses

y>2x−4
y greater than 2 x minus 4

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

Answer 1

To model the graph of the solid line \( y = 2x - 4 \) with a shaded region above the line, you would need a linear inequality that includes the points on the line as well as all the points above it. Since the line is solid, it indicates that points on the line are included, which means you should use "greater than or equal to."

The correct inequality is:

\[ y \geq 2x - 4 \]

So, the correct response from the options provided is:

**y ≥ 2x − 4**