The equation y = 2x – 1 is the boundary line for the inequality y > 2x – 1. which sentence describes the graph of the inequality? a) the region shaded above a solid boundary line. b) the region shaded below a dashed boundary line. c) the region shaded below a solid boundary line. d) the region shaded above a dashed boundary line.

A) The region shaded above a solid boundary line.

Step-by-step explanation:

Given  : The equation y = 2x – 1 is the boundary line for the inequality y > 2x – 1.

To find : Which sentence describes the graph of the inequality.

Solution : We have given that y = 2x – 1 is the boundary line for the inequality y > 2x – 1.

We can write it  as y ≥ 2x -1  because it has boundary on it and greater than it.

So,  y ≥ 2x -1  .

The line would be solid for equality sign and shaded above for greater than sign.

Therefore, A) The region shaded above a solid boundary line.

B.

Step-by-step explanation:

y is less than so it is shaded below the line

the inequality is less than so a dashed line is used if it were less than or equal to it would be a solid line