Question

Describe the following sets in Roster form:
(i) {x/x is a letter of the word 'MARRIAGE'}
(ii) {x/x is an integer and $-\frac{1}{2}<x<\frac{9}{2}$}
(iii) {x/x $=$2n,x $\subset$ N}

Answer 1

(i) Elements of the set are, $M,A,R,I,G,E$

$\therefore set,A=\{M,A,R,I,G,E\}$

(ii) Integers, $>-\frac{1}{2}$ and $<\frac{9}{2}$ are $0,1,2,3,4$

$\therefore set,B=\{0,1,2,3,4\}$

(iii) $x$ is Natural number, $⟹x=1,2,3,4,-----,n$

Elements(2n) are, $2,4,6,8,10,-----,2n$

$\therefore set,C=\{2,4,6,8,10,----,2n\}$