If A = [-1, 4] and B = (1, 6), what is A ∩ B?
Answer and explanation
Correct answer: (1, 4]
The intersection contains the real numbers that belong to both intervals. A includes every number from -1 through 4, including both endpoints. B contains numbers greater than 1 and less than 6; therefore, 1 is excluded, while 4 is included because A includes 4 and B also contains 4. Hence the common interval is (1, 4], which is option B.
Frequently asked questions
What is the correct answer to this question?
(1, 4]
Why is this the correct answer?
The intersection contains the real numbers that belong to both intervals. A includes every number from -1 through 4, including both endpoints. B contains numbers greater than 1 and less than 6; therefore, 1 is excluded, while 4 is included because A includes 4 and B also contains 4. Hence the common interval is (1, 4], which is option B.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
