Describe the following sets in set-builder form :
C $= {0, 3, 6, 9, 12, . . .}$

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Solution

$C = {0, 3, 6, 9, 12}$
$C = {x : x$ is a multiple of $3, 0 \leq x \leq 12}$

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Similar questions

{1, \frac{1}{2}, \frac{1}{3}, \frac{1}{4}, \frac{1}{5}, . . . .}

Describe the following sets in set-builder form :

(i) A = {1,2,3,4,5,6}

(ii) B = {1, $\frac{1}{2}, \frac{1}{3}, \frac{1}{4}, \frac{1}{4}, . . . . . .$ }

(iii) C = {0,3,6,9,12,.....}

(iv) D = {10,11,12,13,14,15}

(v) E = {0} (vi) {1,4,9,16,...., 100}

(vii) {2,4,6,8, ....}

(viii) {5, 25, 125, 625}

{1, 4, 9, 16, . . . ., 100}

{5, 25, 125, 625}

B = \{1, \frac{1}{2}, \frac{1}{3}, \frac{1}{4}, \frac{1}{5}, . . .\};

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