Question

How do you solve for x given `x-5>x+6`?

Answer 1

The statement is false for every given `x \in \R`.

Inutuitively, you're saying that if you pick a number and subtract 5, you get a greater number than adding 6 to the same number, which sounds quite strange indeed.

Using algebra, one gets `x-5>x+6 \iff x-x > 5+6 \iff 0>11`
which is of course false.