Which relation is true?
Answer and explanation
Correct answer: (2, 4) ⊆ [2, 4]
The open interval (2, 4) contains all real numbers strictly between 2 and 4. The closed interval [2, 4] contains those same interior numbers and also includes the endpoints 2 and 4. Therefore every element of (2, 4) is an element of [2, 4], so (2, 4) ⊆ [2, 4]. The reverse inclusion and equality are false, and [2, 4] is not contained in (4, 6). Hence A is correct.
Frequently asked questions
What is the correct answer to this question?
(2, 4) ⊆ [2, 4]
Why is this the correct answer?
The open interval (2, 4) contains all real numbers strictly between 2 and 4. The closed interval [2, 4] contains those same interior numbers and also includes the endpoints 2 and 4. Therefore every element of (2, 4) is an element of [2, 4], so (2, 4) ⊆ [2, 4]. The reverse inclusion and equality are false, and [2, 4] is not contained in (4, 6). Hence 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.
