How can the interval [3, 8) be written in set-builder form?
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Answer and explanation
Correct answer: {x : x ∈ ℝ, 3 ≤ x < 8}
The square bracket at 3 shows that 3 is included, so the inequality must contain 3 ≤ x. The round bracket at 8 shows that 8 is excluded, so the inequality must contain x < 8. Combining these conditions gives {x : x ∈ ℝ, 3 ≤ x < 8}. Thus option B is the correct set-builder form of [3, 8).
Frequently asked questions
What is the correct answer to this question?
{x : x ∈ ℝ, 3 ≤ x < 8}
Why is this the correct answer?
The square bracket at 3 shows that 3 is included, so the inequality must contain 3 ≤ x. The round bracket at 8 shows that 8 is excluded, so the inequality must contain x < 8. Combining these conditions gives {x : x ∈ ℝ, 3 ≤ x < 8}. Thus option B is the correct set-builder form of [3, 8).
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
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