Question

write the following sets in the set -builder form.

i) { 3,6,9,12 }

ii) { 5,25,125,625 }


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Answer 1

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i) {3 , 6 , 9 , 12}

3 = 3 × 1

6 = 3 × 2

9 = 3 × 3

12 = 3 × 4

set - builder form :-

{ x : x = 3n , n € N and 1 ≤ n ≤ 4 }

ii) {5 , 25 , 125 , 625}

5 = 5¹

25 = 5 × 5 = 5²

125 = 5 × 5 × 5 = 5³

625 = 5 × 5 × 5 × 5 = 5⁴

set - builder form :-

{x : x = 5^n , n € N and 1 ≤ n ≤ 4 }

Answer 2

i) {3 , 6 , 9 , 12}

3 = 3 × 1

6 = 3 × 2

9 = 3 × 3

12 = 3 × 4

set - builder form :-

{ x : x = 3n , n € N and 1 ≤ n ≤ 4 }

ii) {5 , 25 , 125 , 625}

5 = 5¹

25 = 5 × 5 = 5²

125 = 5 × 5 × 5 = 5³

625 = 5 × 5 × 5 × 5 = 5⁴

set - builder form :-

{x : x = 5^n , n € N and 1 ≤ n ≤ 4 }