Q. 164.0( 9 Votes )

#
Write down all the subsets of the following sets

(i) {a} (ii) { a,b} (iii) {1,2,3} (iv)

Answer :

(i) {a} = {a} , { }

(ii) { a, b} = {a} , { b} , {a,b} , { }

(iii) {1,2,3} = {1}, {2}, {3} , {1,2} , {2,3} , {3,1},{1,2,3} , { }

(iv) = { }

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PREVIOUS
Let A = {1, 2, {3, 4}, 5}. Which of the following statements are false and why?
(i) {3, 4} ⊂ A
(ii) {3, 4} ∈ A
(iii) {{3, 4}} ⊂ A
(iv) 1 ∈ A
(v) 1 ⊂ A
(vi) {1, 2, 5} ⊂A
(vii) {1, 2, 5} ∈ A
(viii) {1, 2, 3}⊂ A
(ix) φ ∈ A
(x) φ ⊂ A
(xi) {φ A
NEXT
write the following intervals in set-builder form:
(i) {: R, -4 < 6}
(ii) {: R, -12 < -10}
(iii) {: R, 0 <7}
(iv) {: R, 3 4}

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