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Write the following intervals in set-builder form:

(i) (–3, 0)

(ii) [6, 12]

(iii) (6, 12]

(iv) [–23, 5)

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(i) {x:x ∈ R,-3 <x <0} (ii) {x: x ∈ R ,6 ≤ x ≤ 12} (iii) {x: x ∈ R, 6 < x ≤ 12} (iv) {x: x ∈ R,-23 ≤ x < 5}
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(i) -2,-1 (ii)6,7,8,9,10,11,12 (iii)7,8,9,10,11,12 (iv)-23,-22,-21,-20,-19,-18,-17,-16,-15,-14,-13,-12,-11,-10,-9,-8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8,9,10,11,12
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(i) (–3, 0) = {x: x ∈ R, –3 < x < 0} (ii) = {x: x ∈ R, 6 ≤ x ≤ 12} (iii) (6, 12] ={x: x ∈ R, 6 < x ≤ 12} (iv) [–23, 5) = {x: x ∈ R, –23 ≤ x < 5}
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(i) (–3, 0) = {x: x ∈ R, –3 < x < 0}

(ii) [6, 12] = {x: x ∈ R, 6 ≤ x ≤ 12}

(iii) (6, 12] ={x: x ∈ R, 6 < x ≤ 12}

(iv) [–23, 5) = {x: x ∈ R, –23 ≤ x < 5}

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Related Questions

How many elements has P(A), if A = Φ?
We know that if A is a set with m elements i.e., n(A) = m, then n = 2m. If A = Φ, then n(A) = 0. ∴ n = 20 = 1 Hence, P(A) has one element.
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What universal set (s) would you propose for each of the following:

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(i) Collection of the right triangle is a subset of a set of triangles. The comprehensive set can be a set of triangles, or set of polygons(ii)set of an isosceles triangle is a subset of the game of triangles....
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