Write a two-variable linear inequality that models the graph of the solid line y=2x−4

Question

with a shaded region above the line. Which of the following options is correct?(1 point)
Responses

y<2x−4
y less than 2 x minus 4

y>2x−4
y greater 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, you would want to express that \( y \) is greater than or equal to \( 2x - 4 \). This is because the shaded region above the line includes the line itself (as it's a solid line).

Thus, the correct inequality is:

\[ y \geq 2x - 4 \]

So, the correct response is:

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