y+x>1

Here’s the interpretation and how to think about it:

• The inequality y + x > 1 defines the open half-plane in the xy-plane consisting of all points (x, y) whose sum is greater than 1.
• The boundary is the line x + y = 1, which has intercepts (1, 0) and (0, 1) and slope -1.
• Since it’s a strict inequality, the line x + y = 1 is not included in the solution set.

Tips:

• A quick way to test a point: (0, 0) gives 0 > 1? No, so the region is not including near the origin. (2, 0) gives 2 > 1? Yes, so that direction is included.
• For graphing: draw the line x + y = 1, and shade the region on the side toward larger sums (the side containing points like (2,0) or (0,2)).

If you have another constraint (e.g., another inequality or an objective function to optimize), I can show the feasible region or solve a specific example. Would you like a quick sketch or an example problem?