For xa and xb what can A and B to make X all numbers?

For xa and xb what can A and B to make X all numbers?

1 Answer
Jun 1, 2018

a=b

Explanation:

I assume that the case of the variables in your question can be ignored. (e.g. a=A)

Here we have two inequalities: xaandxb

I interpret your question to be asking us to find a condition relating aandb such that x can be the set of all real numbers: x(,+)

If you consider aandb to be two points on the real line then the only situation where both inequalities are satisfied with x(,+) is when aandb are coincident - have the same value on the real line.

Hence our condition relating aandb is a=b