There are lots of subsets; some of the ones that are commonly used are: rational numbers; Irrational Numbers; positive numbers; negative numbers; non-negative numbers; integers; natural numbers.
Remember that a subset simply means a set that is contained in another set. It may even be the same set.
So the real numbers are a subset of themselves. The number {3} is a subset of the reals.
All the examples above are subsets as well.
The set {0,1, 2+i, 2-i} is NOT a subset of the real numbers.
The real numbers are a subset of the complex numbers.
Yes.
The subset consisting of the one number, 7.5 : {7.5}
No. Natural numbers are a very small subset of real numbers.
nRURidk
Yes - in fact the set of all even numbers is a subset of the set of all integers, which is, in turn, a subset of the set of all real numbers.
No. There are several real numbers that are not rational (e.g. pi). However, every rational number is also a real number. In general, whole numbers/natural numbers is a subset of the integers (i.e. every whole number is an integer), the integers is a subset of the rationals, the rationals are a subset of the real numbers. I think the real numbers are a subset of the complex numbers, but I'm not 100% positive on that.
Yes.
The subset consisting of the one number, 7.5 : {7.5}
No. Natural numbers are a very small subset of real numbers.
nRURidk
Yes - in fact the set of all even numbers is a subset of the set of all integers, which is, in turn, a subset of the set of all real numbers.
An irrational number.
Irrational numbers.
5
A number cannot have a subset, only a set can.The set containing 6.45 is {6.45} and it has two subsets: itself and the null set = {}.
Real numbers are the subset of complex numbers with the property that their imaginary part is zero. Since the above number has no imaginary part, it is a real number.
You have it backwards. Integers are a subset of real numbers.