Write the following intervals in set-builder ...

NCERT Class XI Mathematics - Sets - Solutions

Question : 19 of 73

Marks: +1, -0

Write the following intervals in set-builder form:

(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}

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