Which option is correct for [1, 3) ⊆ (0, 4)?
Answer and explanation
Correct answer: True, because every number in [1, 3) lies between 0 and 4
The interval [1, 3) contains 1 and every real number less than 3, while the interval (0, 4) contains all real numbers strictly between 0 and 4. Every element of [1, 3) is greater than 0 and less than 4, including the endpoint 1 because 1 lies inside (0, 4). The fact that 3 is excluded from the first interval does not violate the subset relation.
Frequently asked questions
What is the correct answer to this question?
True, because every number in [1, 3) lies between 0 and 4
Why is this the correct answer?
The interval [1, 3) contains 1 and every real number less than 3, while the interval (0, 4) contains all real numbers strictly between 0 and 4. Every element of [1, 3) is greater than 0 and less than 4, including the endpoint 1 because 1 lies inside (0, 4). The fact that 3 is excluded from the first interval does not violate the subset relation.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
