Question

Graph the inequality on the axes below.
x, minus, y, is less than, minus, 1
x−y<−1 on a graph with two points

Answer 1

1. Rewrite the boundary: x − y = −1 → y = x + 1.
2. Pick two points on the line, e.g. (0,1) and (1,2). Plot those and draw the line through them as a dashed line (because the inequality is strict "<", so the boundary is not included).
3. Determine which side to shade. Rearrange the inequality: x − y < −1 → y > x + 1, so the solution is the region above the line y = x + 1. (You can test a point: (0,0) gives 0 > 1 false, so do not shade the side containing (0,0); shade the opposite side.)

So: plot (0,1) and (1,2), draw a dashed line through them, and shade the half-plane above that line.