If A = [2, 5) and B = (1, 5), which statement is correct?
Answer and explanation
Correct answer: A ⊆ B
A = [2, 5) contains 2 and every real number greater than 2 but less than 5; it does not contain 5. B = (1, 5) contains every real number greater than 1 and less than 5. Every element of A is therefore also an element of B, so A ⊆ B. The reverse inclusion is false because values such as 1.5 belong to B but not to A. The intervals are not equal, and 1 is not in A.
Frequently asked questions
What is the correct answer to this question?
A ⊆ B
Why is this the correct answer?
A = [2, 5) contains 2 and every real number greater than 2 but less than 5; it does not contain 5. B = (1, 5) contains every real number greater than 1 and less than 5. Every element of A is therefore also an element of B, so A ⊆ B. The reverse inclusion is false because values such as 1.5 belong to B but not to A. The intervals are not equal, and 1 is not in A.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
