If U = R and A = {x in R : -1 < x <= 6}, what is A'?
Answer and explanation
Correct answer: (-infinity, -1] union (6, infinity)
The interval A = (-1, 6] contains numbers strictly greater than -1 and includes 6. Therefore -1 is excluded from A and must be included in its complement, while 6 is included in A and must be excluded from the complement. All real numbers less than -1 and greater than 6 belong to A', giving (-infinity, -1] union (6, infinity).
Frequently asked questions
What is the correct answer to this question?
(-infinity, -1] union (6, infinity)
Why is this the correct answer?
The interval A = (-1, 6] contains numbers strictly greater than -1 and includes 6. Therefore -1 is excluded from A and must be included in its complement, while 6 is included in A and must be excluded from the complement. All real numbers less than -1 and greater than 6 belong to A', giving (-infinity, -1] union (6, infinity).
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Complement of a Set and Its Properties.
