If A = (2, 6), which statement is true?
Answer and explanation
Correct answer: 4 ∈ A
The notation (2, 6) denotes an open interval. It contains every real number strictly greater than 2 and strictly less than 6, but it excludes both endpoints 2 and 6. The number 4 lies between these endpoints, so 4 belongs to A. The number 1 lies outside the interval. Consequently, the true statement is 4 ∈ A, which is option C.
Frequently asked questions
What is the correct answer to this question?
4 ∈ A
Why is this the correct answer?
The notation (2, 6) denotes an open interval. It contains every real number strictly greater than 2 and strictly less than 6, but it excludes both endpoints 2 and 6. The number 4 lies between these endpoints, so 4 belongs to A. The number 1 lies outside the interval. Consequently, the true statement is 4 ∈ A, which is option C.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
