For x>=a and x<=b what can A and B to make X all numbers?

For x>=a and x<=b 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: x>=a and x<=b

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

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

Hence our condition relating a and b is a=b