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If X = {1, 2, 3}, if n represents any member of X,

Question:

If X = {1, 2, 3}, if n represents any member of X, write the following sets containing all numbers represented by:

(i) 4n

(ii) n + 6

(iii) n/2

(iv) n – 1

Solution:

(i) According to the question,

X = {1, 2, 3} where n represents any member of X

X = {1, 2, 3}

{4n | n ∈ x}

= {4×1, 4×2, 4×3}

= {4, 8, 12}

(ii) According to the question,

X = {1, 2, 3} where n represents any member of X

X = {1, 2, 3}

{n + 6 | n ∈ x}

= {1 + 6, 2 + 6, 3 + 6}

= {7, 8, 9}

(iii) According to the question,

X = {1, 2, 3} where n represents any member of X

X = {1, 2, 3}

$\left\{\frac{n}{2} \mid n \in \chi\right\}$

$=\left\{\frac{1}{2}, \frac{2}{2}, \frac{3}{2}\right\}$

= { ½, 1, 3/2}

(iv) According to the question,

X = {1, 2, 3} where n represents any member of X

X = {1, 2, 3}

{n – 1 | n ∈ x}

= {1 – 1, 2 – 1, 3 – 1}

= {0, 1, 2}

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