If A = [0, 10], which set is a subset of A?
Answer and explanation
Correct answer: {0, 5, 10}
The closed interval A = [0, 10] contains every real number from 0 through 10, including both endpoints. For a set to be a subset of A, each one of its elements must lie in that interval. The numbers 0, 5, and 10 all belong to A, so {0, 5, 10} is a subset. The other choices contain −1 or numbers greater than 10, so they cannot be subsets.
Frequently asked questions
What is the correct answer to this question?
{0, 5, 10}
Why is this the correct answer?
The closed interval A = [0, 10] contains every real number from 0 through 10, including both endpoints. For a set to be a subset of A, each one of its elements must lie in that interval. The numbers 0, 5, and 10 all belong to A, so {0, 5, 10} is a subset. The other choices contain −1 or numbers greater than 10, so they cannot be subsets.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
