Question

Name the subsets of real numbers to which each number belongs

Answer 1

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Answer 2

Answer: If each element of set A is also an element of set which is B, then set A is a subset of set B. To put it another way, if a ∈ A, then a ∈ B, then A ⊂ B.

Step-by-step explanation:

Utilizing the sign "⇒" which meaning implies, is frequently convenient. The definition of the subset can alternatively be expressed using this symbol as follows:

Here A ⊂ B if a ∈ A ⇒ a ∈ B

What are the Real Numbers Subsets?

R has a number of significant subgroups, including:

• Natural number series N = {1, 2, 3, 4, 5, . . .}
• Z =..., -3, -2, -1, 0, 1, 2, 3,... is a set of integers.
• the group of rational numbers Q ={ x: x = a/b, where a, b∈ Z and b≠ 0}
• All other real numbers make up the group of irrational numbers indicated by the symbol T.

• As a result, T = {x: x∈ R and x∉ Q} that is, all real numbers that are irrational. √2, √3, √5, and other irrational numbers are only a few examples.

• Subsets of natural numbers are the subset of whole numbers.
• Integers, whole numbers, natural numbers and rational numbers are subsets of Rational numbers.
• The set of natural and whole numbers is the subset of Integers.
• Rational numbers (includes integers, whole numbers, natural numbers) and irrational numbers both are the subsets of real numbers.

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