Which is the interval form of the set {x ∈ R : x < −2}?
Answer and explanation
Correct answer: (−∞, −2)
The strict inequality x < −2 means that −2 itself is excluded. Every real number smaller than −2 is included, and the set continues indefinitely toward negative infinity. Therefore its interval notation is (−∞, −2). A round bracket is required at −2 because equality is not allowed, and infinity also always uses a round bracket. Hence option A is correct.
Frequently asked questions
What is the correct answer to this question?
(−∞, −2)
Why is this the correct answer?
The strict inequality x < −2 means that −2 itself is excluded. Every real number smaller than −2 is included, and the set continues indefinitely toward negative infinity. Therefore its interval notation is (−∞, −2). A round bracket is required at −2 because equality is not allowed, and infinity also always uses a round bracket. Hence option A is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
