It is not necessary - it is a convention to distinguish between the end points of a range being included or not in the solution.
An empty set is not a proper subset of an empty set.An empty set is not a proper subset of an empty set.An empty set is not a proper subset of an empty set.An empty set is not a proper subset of an empty set.
The empty set is the set that contains no elements. (It is the empty set, not an empty set, because there is only one of them. It is a unique mathematical object.)
It depends on what it contains: none, if it is empty!It depends on what it contains: none, if it is empty!It depends on what it contains: none, if it is empty!It depends on what it contains: none, if it is empty!
The empty element is a subset of any set--the empty set is even a subset of itself. But it is not an element of every set; in particular, the empty set cannot be an element of itself because the empty set has no elements.
it is like (empty) zero or nothing at all
There is only one solution set. Depending on the inequalities, the set can be empty, have a finite number of solutions, or have an infinite number of solutions. In all cases, there is only one solution set.
the big empty circle
the big empty circle
NO.
I wouldn't think so
paper mache
It indicates a low area such as a valley.
A set of equations is inconsistent, if its solution set is empty.
They both: - have variables, - are open sentences, - consist of two expressions joined by a "verb" (equals or inequality sign), - have solution sets (which may be empty or have one or more elements).
they may be necessary in certain situations to avoid a large number of empty ,or almost empty, classes.
I think you're referring to a half note...?
Unsolvable equations have no solutions so the solution set would be [ ]. (empty set)