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
(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}