The point (2, 3) is on the line y = 2x - 4, so the inequality must be changed to make the point a solution. The only way to do this is to make the inequality less strict.
* y < 2x - 1 is not a solution, because the point (2, 3) is below the line y = 2x - 1.
* y ≤ 2x - 4 is a solution, because the point (2, 3) is on the line y = 2x - 4.
* y > 2x - 4 is not a solution, because the point (2, 3) is below the line y = 2x - 4.
* y < 2x + 4 is not a solution, because the point (2, 3) is below the line y = 2x + 4.
* y < 3.5x - 4 is not a solution, because the point (2, 3) is below the line y = 3.5x - 4.
* y < 4x - 4 is not a solution, because the point (2, 3) is below the line y = 4x - 4.
Therefore, the only equation that Miguel could write is y ≤ 2x - 4.
So the answer is **y ≤ 2x – 4**.