Doesn't that mean the interval from 3 to 3, not including 3?provide further context
The statement that (a,b) is an open interval in the set of real numbers means that a & b are two real numbers and a<b.Doesn't that mean the interval from 3 to 3, not including 3?
The statement that (a,b) is an open interval in the set of real numbers means that a & b are two real numbers and a<b.
(a,b)={x∈R:a<x<b}
Anyone who can count knows that a=a so (a,a) does have two real numbers therefore by definition is not notation for an open interval.and thus (a,a)={x∈R:a<x<a}=∅
But [a,a] is.Anyone who can count knows that a=a so (a,a) does have two real numbers therefore by definition is not notation for an open interval.
But [a,a] is.