Which statement about the set of real numbers (ℝ) is correct?
Answer and explanation
Correct answer: ℕ ⊆ ℝ
The natural numbers are 1, 2, 3, and so on, and every natural number is also a real number. Therefore, every element of ℕ belongs to ℝ, which is written as ℕ ⊆ ℝ. The reverse relation is false because real numbers also include integers, fractions, irrational numbers, and many other numbers that are not natural numbers.
Frequently asked questions
What is the correct answer to this question?
ℕ ⊆ ℝ
Why is this the correct answer?
The natural numbers are 1, 2, 3, and so on, and every natural number is also a real number. Therefore, every element of ℕ belongs to ℝ, which is written as ℕ ⊆ ℝ. The reverse relation is false because real numbers also include integers, fractions, irrational numbers, and many other numbers that are not natural numbers.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
