Question

Identify the following sets as finite or infinite
(i) $A=\{4,5,6,...\}$
(ii) $B=\{0,1,2,3,4,...75\}$
(iii) $X=$ $\{$ $x:x$ is an even natural number $\}$
(iv) $Y=$ $\{$ $x:x$ is a multiple of 6 and $x>0$ $\}$
(v) $P=$ The set of letters in the word 'freedom'

Answer 1

$\left(1\right)A=\{4,5,\mathrm{6......}\}$

infinite set

$\left(2\right)B=\{0,1,2,3,\mathrm{4.....75}\}$

finite set

$\left(3\right)X=\{2,4,6,8,10\}$

infinite set

$\left(4\right)Y=\{6,12,18,\mathrm{24....}\}$

infinite set

$\left(5\right)P=\{f,r,e,d,o,m\}$

finite set