SOLUTION: . Which of the following statements are true? i) {a, b, c } = {c, b, a } ii) Every subset of an infinite set is infinite iii) The set { 1, 2, 3, 4 } has in all 32 subsets

Algebra ->  Subset -> SOLUTION: . Which of the following statements are true? i) {a, b, c } = {c, b, a } ii) Every subset of an infinite set is infinite iii) The set { 1, 2, 3, 4 } has in all 32 subsets       Log On


   



Question 481155: . Which of the following statements are true?
i) {a, b, c } = {c, b, a }
ii) Every subset of an infinite set is infinite
iii) The set { 1, 2, 3, 4 } has in all 32 subsets

Answer by richard1234(7193) About Me  (Show Source):
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i) True, the two sets have exactly the same elements.

ii) False, {1,2,3} is a subset of the infinite set {1,2,3,4,...}.

iii) False, {1,2,3,4} has 2^4 = 16 subsets.