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  • 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

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) \frac{n}{2}
(iv) n – 1
 

Answers (1)

Given that X = \{1,2,3\}

    (i)    \{4n | n\in X\} = \{4,8,12\}

    (ii)    \{n + 6\ |\ n\in X\} = \{7,8,9\}

    (iii)    \left\{\frac{n}{2} \ | \ x\in X \right \} = \left\{\frac{1}{2},1,\frac{3}{2} \right \}

    (iv)    \left\{(n-1)\ | \ x\in X \right \} = \left\{0,1,2 \right \}

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