Which is the correct set-builder form of the interval [−2, 6)?
Answer and explanation
Correct answer: {x ∈ R : −2 ≤ x < 6}
In the interval [−2, 6), the square bracket at −2 means that −2 is included, while the round parenthesis at 6 means that 6 is excluded. Thus every real number x must satisfy −2 ≤ x < 6. Option B records both endpoint conditions correctly; the other options include or exclude at least one endpoint incorrectly.
Frequently asked questions
What is the correct answer to this question?
{x ∈ R : −2 ≤ x < 6}
Why is this the correct answer?
In the interval [−2, 6), the square bracket at −2 means that −2 is included, while the round parenthesis at 6 means that 6 is excluded. Thus every real number x must satisfy −2 ≤ x < 6. Option B records both endpoint conditions correctly; the other options include or exclude at least one endpoint incorrectly.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
