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Identify which of the following are finite sets: (i) x: x ∈ N, x > 5 (iii) x: x ∈ Z, x < 3

Mathematics

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An example of finite set is

  • (i) {x:x∈N,x>5}\{x: x \in N, x > 5\}: This set represents natural numbers greater than 5, i.e., {6,7,8,...}\{6, 7, 8, ...\}. This is an infinite set.
  • (iii) {x:x∈Z,x<3}\{x: x \in Z, x < 3\}: This set represents integers less than 3, i.e., {...,0,1,2}\{..., 0, 1, 2\}. This is an infinite set.

Neither of the provided options (i) or (iii) is an example of a finite set. Both are infinite sets

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