Final Answer:
The ordered pairs (1, -1) and (5, 1) are solutions to the inequality (y - 3x < -4).
Step-by-step explanation:
The given inequality is (y - 3x < -4). To determine which ordered pairs satisfy this inequality, substitute the x and y values from each pair into the inequality.
1. For the pair (1, -1):
[(-1) - 3(1) = -4]
The left side of the inequality is (-4), which is less than the right side ((-4)), making (1, -1) a solution.
2. For the pair (5, 1):
[1 - 3(5) = -14]
The left side of the inequality is (-14), which is less than the right side (-4), making (5, 1) a solution.
For the other ordered pairs:
- (4, -2): [(-2) - 3(4) = -14] (Not a solution)
- (0, -3): [(-3) - 3(0) = -3] (Not a solution)
- (-3, 0): [0 - 3(-3) = 9] (Not a solution)
Therefore, only the ordered pairs (1, -1) and (5, 1) satisfy the given inequality. These points lie on the side of the inequality where (y - 3x) is less than (-4). The solutions to the inequality are the points in the coordinate plane that, when substituted into the inequality, make it a true statement.