Which relation among the following number sets is always true?
Answer and explanation
Correct answer: N ⊆ Z ⊆ Q ⊆ R
The standard number-system inclusion chain is N ⊆ Z ⊆ Q ⊆ R. Every natural number is an integer; every integer can be written as a rational number with denominator 1; and every rational number is real. The reverse containments are false because, for example, negative integers are not natural numbers and irrational real numbers are not rational. Therefore option A is the only valid relation.
Frequently asked questions
What is the correct answer to this question?
N ⊆ Z ⊆ Q ⊆ R
Why is this the correct answer?
The standard number-system inclusion chain is N ⊆ Z ⊆ Q ⊆ R. Every natural number is an integer; every integer can be written as a rational number with denominator 1; and every rational number is real. The reverse containments are false because, for example, negative integers are not natural numbers and irrational real numbers are not rational. Therefore option A is the only valid relation.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
