Which set is a subset of R but not a subset of Z?
Answer and explanation
Correct answer: {1/2}
R denotes the set of real numbers, while Z denotes the set of integers. The number 1/2 is real, so every element of {1/2} belongs to R. However, 1/2 is not an integer, so this set is not a subset of Z. The other listed sets contain only integers and are subsets of both R and Z.
Frequently asked questions
What is the correct answer to this question?
{1/2}
Why is this the correct answer?
R denotes the set of real numbers, while Z denotes the set of integers. The number 1/2 is real, so every element of {1/2} belongs to R. However, 1/2 is not an integer, so this set is not a subset of Z. The other listed sets contain only integers and are subsets of both R and Z.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.