Which statement is correct about the standard number sets?
Answer and explanation
Correct answer: N ⊆ Z ⊆ Q ⊆ R
The standard inclusion chain is N ⊆ Z ⊆ Q ⊆ R. Natural numbers are contained in the integers; integers can be written as rational numbers, so they are contained in Q; and every rational number is real, so Q is contained in R. The reverse statements are false because each larger set contains numbers absent from the smaller one. Therefore A is correct.
Frequently asked questions
What is the correct answer to this question?
N ⊆ Z ⊆ Q ⊆ R
Why is this the correct answer?
The standard inclusion chain is N ⊆ Z ⊆ Q ⊆ R. Natural numbers are contained in the integers; integers can be written as rational numbers, so they are contained in Q; and every rational number is real, so Q is contained in R. The reverse statements are false because each larger set contains numbers absent from the smaller one. Therefore A is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
