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Question
The set {x ∈ R : 1 ≤ x < 2} can be written as ______.
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Solution
The set {x ∈ R : 1 ≤ x < 2} can be written as [1, 2).
Explanation:
Given: {x ∈ R: 1 ≤ x < 2}
The symbol ∈ R means the set contains all continuous real values between 1 and 2, which requires interval notation rather than roster form.
The condition 1 ≤ x means 1 is included, represented by a closed square bracket: [1
The condition x < 2 means 2 is excluded, represented by an open parenthesis: 2)
Combining these gives the interval [1, 2).
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