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
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.Jade
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 :-)