y+x>

It looks like your inequality is incomplete. Do you mean:

• x + y > 0 (the common case), or
• x + y > c for some constant c, or
• something else?

If you meant x + y > 0 and x,y are real numbers, here’s the general interpretation and how to think about it:

• Solution set: all pairs (x, y) in the plane such that x + y > 0.
• Graphically: the half-plane above the line y = -x (the line through the origin with slope -1). Points strictly above that line satisfy the inequality; points on or below do not.
• If you add constraints, it changes the region. For example:
  • If x ≥ 0 and y ≥ 0, then x + y > 0 holds for all points in the first quadrant except the origin.
  • If x and y are integers, the solution is all integer pairs with x + y ≥ 1.

If you meant a different c (x + y > c), then the region is the half-plane above the line y = -x + c.

Could you share the exact problem (Are x and y real or integers? Any extra constraints? Is c given?) I can tailor the solution or provide a sketch or step-by-step solving.