For this case, the first thing to do is find the equation of the line correctly and then see which of the inequalities represents the shaded region. We have then: 5x - y = 2 For x = 0 5 (0) - y = 2 -y = 2 y = -2 For y = 0 5x - 0 = 2 5x = 2 x = 2/5 = 0.4 Therefore the line is: 5x - y = 2 Then, we see that for the point (0, 0) 5x - y ≥ 2 5 (0) - (0) ≥ 2 0 ≥ 2 The inequality is not met, which is correct because this point is not part of the shaded region. Answer: The inequality that best is represented by the graph if: 5x - y ≥ 2
