With reference to ℝ, the set of real numbers, which statement is correct?
Answer and explanation
Correct answer: ℕ ⊆ ℝ
The natural numbers, such as 1, 2, 3 and so on, are included within the real number system. Therefore every natural number is a real number, which is written as ℕ ⊆ ℝ. The reverse inclusion is false because real numbers also include integers, fractions, irrational numbers, and decimals that are not natural numbers. ℝ is not empty, and ℕ is a set rather than one individual element of ℝ.
Frequently asked questions
What is the correct answer to this question?
ℕ ⊆ ℝ
Why is this the correct answer?
The natural numbers, such as 1, 2, 3 and so on, are included within the real number system. Therefore every natural number is a real number, which is written as ℕ ⊆ ℝ. The reverse inclusion is false because real numbers also include integers, fractions, irrational numbers, and decimals that are not natural numbers. ℝ is not empty, and ℕ is a set rather than one individual element of ℝ.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
