Short Answer Type
 {x : x is a vowel in the English alphabet}
What universal set(s) would you propose for each of the following?
(i) The set of right triangles, (ii) The set of isosceles triangles.
(i) Â All right triangles are also triangles.
 Each member of set containing right angled triangles is a member of the set containing a triangles.
   U  = { c : c is a triangl;e in a plane}
(ii) Â Â All isosceles triangles are also triangles.
 Each member of set containing isosceles triangles is a member of the set containing a triangles.
  U = { x: x is a triangle in a plane}
Write down all the subsets of the following sets
(i) {a} (ii) {a, b} (iii) {1, 2, 3} (iv) φ
Given sets A = {1, 3, 5}, B = {2, 4, 6}, C = {0, 2, 4, 6, 8}, which of the following can be considered as universal set(s) of three sets A, B, C ?
(i) {0,1,2,3,4,5,6}Â (iii)Ï•
(iii) {0, 1, 2, 3, 4, 5, 6, 7, 8, 9,10}Â (iv) {1, 2, 3, 4, 5, 6, 7, 8}
Write the following as intervals :
(i) {x : x ∈ R, – 4 < x ≤ 6} (ii) {x : x ∈ R, – 12 < x < –10} (iii) {x : x ∈ R, 0 ≤ x < 7} (iv) {x : x ∈ R, 3 ≤ x ≤ 4}
Write the following intervals in set-builder form :
(i)-∞ 31 (ii) (-∞, 0) (iii) [-1, ∞) (iv) (3, ∞)
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