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  • Find the union of each of the following pairs of sets : (iv) A = {x : x is a natural number and 1 < x ≤6 } B = {x : x is a natural number and 6 < x < 10 }

Q1. Find the union of each of the following pairs of sets :

(iv) A = {x : x is a natural number and 1 < x ≤6 }

      B = {x : x is a natural number and 6 < x < 10 }

Answers (1)

\\A=\{x: x \text { is a natural number and } 1< x \leq 6\}=\{2,3,4,5,6\}$ \\ $\mathrm{B}=\{x: x \text { is a natural number and } 6<x<10\}=\{7,8,9\}$ \\ $\mathrm{A \ U \ B}=\{2,3,4,5,6,7,8,9\}$ \\ $\therefore \mathrm{A \ U \ B}=\{x: x \in \mathrm{N} \text { and } 1<x<10\}$

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