Algebra-1

The characteristics of the graph for the given system of inequalities, x + y < 1 and x - y ≤ 2, are as follows:

1. The graph represents a region in the coordinate plane.
2. The region is bounded by two lines.
3. The line x + y = 1 represents a diagonal line with a slope of -1 passing through the point (1, 0).
4. The line x - y = 2 represents a diagonal line with a slope of 1 passing through the point (0, -2).
5. The inequality x + y < 1 indicates that the region below the line x + y = 1 is included in the solution set. The line itself is not included in the solution set, so it is typically drawn as a dashed line.
6. The inequality x - y ≤ 2 indicates that the region below or on the line x - y = 2 is included in the solution set. The line itself is included in the solution set, so it is typically drawn as a solid ...