Question

WILL GIVE THE BRAINLIEST! Which of the following inequalities can be represented by the graph?

Answer 1

Answer: Choice A) $y \ge 2x-2$

=========================================

Explanation:

The boundary line is y = 2x-2. This line goes through (0,-2) and (2,2). Use the slope formula to find the slope to be m = 2, and use the y intercept b = -2 to help form the equation.

Since the boundary line is solid, we will have "or equal to" as part of the inequality sign. This indicates points on the boundary are part of the solution set. Furthermore, we will have a greater than sign because the shaded region is above the boundary. Therefore, we change the equal sign to a "greater than or equal to" sign, going from y = 2x-2 to $y \ge 2x-2$

If we simply did $y > 2x-2$ without the "or equal to" portion, then the boundary line would be dotted or dashed to tell the reader "points on the boundary are not part of the solution set".