Integers, Rational numbers, Real numbers and Complex numbers.
To any set that contains it! It belongs to {-22}, or {-22, sqrt(2), pi, -3/7}, or all whole numbers between -43 and 53, or multiples of 11, or composite numbers, or integers, or rational numbers, or real numbers, etc.
Real numbers; rational numbers; integers; and of course you can make up lots of other sets to which it belongs.
A finite set with N distinct elements has 2N subsets.
If the set has "n" elements, then you can make 2n different subsets. The number of subsets will always be greater than the size of the set, both for finite and for infinite sets.
A set with n elements has 2n subsets. The number of proper subsets is one less, since 2n includes the set itself.
Rational numbers.
Elements belong to subsets: subsets contain elements (from the parent set).
Elements can belong to subsets. Subsets can be elements of sets that are called "power sets".
The one which says rational numbers (ℚ).
No, they can belong to infinitely many subsets.
To any set that contains it! It belongs to {-22}, or {-22, sqrt(2), pi, -3/7}, or all whole numbers between -43 and 53, or multiples of 11, or composite numbers, or integers, or rational numbers, or real numbers, etc.
Real numbers; rational numbers; integers; and of course you can make up lots of other sets to which it belongs.
To get the number of subsets of size less than 2:Total number of subsets of a set of size N is 2NTotal number of subsets of size 1 is 100Total number of subsets of size 0 is 1Total number of subsets of size 2 is 100*99/2 = 4950Sum up: 100 + 1 + 4950 = 5051Subtract this from total subsets: 2100 - 5051 (Answer)
The number -2.324 belongs to several subsets of the real number system. It is classified as a rational number because it can be expressed as a fraction (-2324/1000). Additionally, it is a real number, and it falls under the category of irrational numbers, as it has a non-repeating, non-terminating decimal expansion. However, it is not an integer or a whole number.
The number of elements. A set with n elements has 2n subsets; for example, a set with 5 elements has 25 = 32 subsets.
Negative four over five (-4/5) belongs to several subsets of numbers. It is a rational number because it can be expressed as a fraction of two integers. Additionally, it is a real number, as all rational numbers are part of the real number set. However, it is not a whole number, integer, or natural number.
Only a set can have subsets, a number cannot have subsets.