See attached image for the graph that represents the solution set for the inequality y≥x+1
How to determine which graph represents the solution set for the inequality?
The boundary line equation is y = x + 1, a line with a slope of 1 and a y-intercept of 1. It passes through (0, 1) and slopes up one unit in the y-direction for every one unit to the right in the x-direction.
The inequality y ≥ x + 1 includes all points greater than or equal to the line y = x + 1. This encompasses the region above or on the line.
Therefore, the graph of the solution set for y ≥ x + 1 is the area above or on the line y = x + 1, encompassing the line itself. When represented on a coordinate plane, it extends infinitely in both directions above and including the line.