# Does the inequality sign change when you are you subtracting?

##### 1 Answer

Dec 23, 2014

No, if you subtract the same value from both sides of inequality.

If you have two ropes, one longer than another, and you cut the same piece from both, what remains from a longer rope will still be longer than what remains from a shorter one.

The same inequality will be between results of subtraction of the same value.

Algebraic representation of this is:

If