Final answer:
The inequality that is graphed on the coordinate plane is Y < -2x + 1. To determine the graph of the inequality, we need to first understand the slope and y-intercept of the equation -2x + 1. The graph of the inequality will be a straight line that slopes downward to the right and crosses the y-axis at y = 1. (Option C).
Step-by-step explanation:
The correct inequality that is graphed on the coordinate plane is c. Y < -2x + 1.
To determine the graph of the inequality, we need to first understand the slope and y-intercept of the equation. In this case, the inequality is in the form y < mx + b, where m represents the slope and b represents the y-intercept.
The equation -2x + 1 has a negative slope of -2 and a y-intercept of 1. This means that the graph of the inequality will be a straight line that slopes downward to the right and crosses the y-axis at y = 1. Any point below this line will satisfy the inequality.