The set {x : x ∈ ℝ, −1 ≤ x ≤ 4} is equal to which interval?
Answer and explanation
Correct answer: [−1, 4] — both endpoints included
The symbol ≤ includes equality, so both boundary values are part of the set. The condition −1 ≤ x includes −1, and x ≤ 4 includes 4. In interval notation, an included endpoint is written with a square bracket. Since both endpoints are included, the set is the closed interval [−1, 4].
Frequently asked questions
What is the correct answer to this question?
[−1, 4] — both endpoints included
Why is this the correct answer?
The symbol ≤ includes equality, so both boundary values are part of the set. The condition −1 ≤ x includes −1, and x ≤ 4 includes 4. In interval notation, an included endpoint is written with a square bracket. Since both endpoints are included, the set is the closed interval [−1, 4].
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, many more. Step 3: Hence the set is infinite..
