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-or-equal-to 2 x minus 4

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

y<2x−4
y less than 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 choose an inequality that represents all the points above the line, including the points on the line itself.

Since the line is solid, it means that points on the line are included in the solution (i.e., the inequality will include equality).

The appropriate inequality that represents the region above the line \(y = 2x - 4\) is:

\[ y \geq 2x - 4 \]

Therefore, the correct option is:

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