NCERT Class XI Mathematics - Sets - Solutions
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Question : 19
Total: 73
Write the following intervals in set-builder form:
(i) (–3, 0)
(ii) [6, 12]
(iii) (6, 12]
(iv) [–23, 5)
(i) (–3, 0)
(ii) [6, 12]
(iii) (6, 12]
(iv) [–23, 5)
Solution:
(i) The interval (–3, 0) can be written in set-builder form as {x : x ∈ R, –3 < x < 0}.
(ii) The interval [6, 12] can be written in set-builder form as {x : x ∈ R, 6 ≤ x ≤ 12}.
(iii) The interval (6, 12] can be written in set-builder form as {x : x ∈ R, 6 < x ≤ 12}
(iv) The interval [–23,5) can be written in set-builder form as{x : x ∈ R, –23 ≤ x < 5}
(ii) The interval [6, 12] can be written in set-builder form as {x : x ∈ R, 6 ≤ x ≤ 12}.
(iii) The interval (6, 12] can be written in set-builder form as {x : x ∈ R, 6 < x ≤ 12}
(iv) The interval [–23,5) can be written in set-builder form as{x : x ∈ R, –23 ≤ x < 5}
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