Math problem. Help needed?

X and Y are integers
X+Y<11. And X>6
What is there smallest possible value of X-Y?
1
2
4
-2
-4
please show working

Dragon.Jade2016-03-28T02:35:20Z

Hello,

You should not have modified the problem by changing the ≤≥ symbols to <>.
In maths, every symbol has a very precise meaning. And doing this actually makes your problem not mathematically solvable.

   X + Y ≤ 11
   -X – Y ≥ -11   ← Multiply by -1, the inequality sign is reversed

   X ≥ 6
   2X ≥ 12   ← Multiply by 2, the inequality sign stays the same

Then add both inequalities:
   2X + (-X – Y) ≥ 12 + (-11)
   2X – X – Y ≥ 12 – 11
   X – Y ≥ 1

Thus the minimal value of X–Y should be 1.

Regards,
Dragon.Jade :-)