Question

A=B for which of the following statements?
$\left(i\right)A=\{2,4,6,8,10\};$$B=\{x:x$ is a positive even integer and $x\le 10\}$
$\left(ii\right)A=\{x:x$ is a multiple of $10\};$$B=\{10,15,20,25,30,.....\}$

• A. $\left(i\right)$ only
• B. $\left(ii\right)$ only
• C. Both $\left(i\right)$ and $\left(ii\right)$
• D. Neither $\left(i\right)$ nor $\left(ii\right)$

Answer 1

Answer: (A)

$\left(i\right)$ only

$\left(i\right)A=\{2,4,6,8,10\}$
$B=\{x:x$ is a positive even integer and $x\le 10\}$
$=\{2,4,6,8,10\}$
$\therefore A=B$
$\left(ii\right)A=\{x:x$ is a multiple of $10\}$
$B=\{10,15,20,25,30,.....\}$
It can be seen that $15\in B$ but $15\notin A$
$\therefore A\ne B$