Which statement shows the correct relation among number sets?
Answer and explanation
Correct answer: ℤ ⊆ ℝ
Every integer is a real number, including negative integers, zero, and positive integers. Consequently, all elements of ℤ are contained in ℝ, so the correct relation is ℤ ⊆ ℝ. The reverse statement fails because real numbers include noninteger fractions and irrational numbers. Likewise, ℝ is not contained in ℕ, and rational numbers are not all natural numbers.
Frequently asked questions
What is the correct answer to this question?
ℤ ⊆ ℝ
Why is this the correct answer?
Every integer is a real number, including negative integers, zero, and positive integers. Consequently, all elements of ℤ are contained in ℝ, so the correct relation is ℤ ⊆ ℝ. The reverse statement fails because real numbers include noninteger fractions and irrational numbers. Likewise, ℝ is not contained in ℕ, and rational numbers are not all natural numbers.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
