For (5, -2): -2 - 4(5) = -2 - 20 = -22 ≤ -5 [false]
For (-2, 1): 1 - 4(-2) = 1 + 8 = 9 ≥ -5 [true]
For (-4, 2): 2 - 4(-4) = 2 + 16 = 18 ≥ -5 [true]
For (1, -1): -1 - 4(1) = -1 - 4 = -5 ≥ -5 [true]
For (4, 0): 0 - 4(4) = 0 - 16 = -16 ≤ -5 [false]
Therefore, options B, C, and D satisfy the inequality.