False
A set is a collection of distinct objects. Each objectin a set is called an element or member of the set. You can use set notation to write a set by enclosing the elements of the sets in braces. For example, if A is the set of whole numbers less than 6, then A = {0,1,2,3,4,5}.
There is no counterexample because the set of whole numbers is closed under addition (and subtraction).
The set of integers (ℤ) is the set of the positive whole numbers and their additive opposites (the negative whole numbers).
The set of integers includes the set of whole numbers. The set of rational numbers includes the sets of whole numbers and integers.
False
Yes. It has a logical definition and no members violate that definition.
False. The collection of natural numbers is an example of a set, not an element. An element is an individual member of a set, while the collection of natural numbers is a set itself.
Yes it is.
A set is a collection of distinct objects. Each objectin a set is called an element or member of the set. You can use set notation to write a set by enclosing the elements of the sets in braces. For example, if A is the set of whole numbers less than 6, then A = {0,1,2,3,4,5}.
There is no counterexample because the set of whole numbers is closed under addition (and subtraction).
The set of integers (ℤ) is the set of the positive whole numbers and their additive opposites (the negative whole numbers).
The set of integers includes the set of whole numbers. The set of rational numbers includes the sets of whole numbers and integers.
Actually the set of integers is the same as the set of whole numbers since the whole numbers include negative whole numbers and zero.
The set of integers is the same as the set of whole numbers.
A set
The set of natural numbers is a subset of the set of whole numbers. The set of whole numbers is a subset of the set of integers. So the set of integers is the largest of these three sets.