Question

If $A=\{8,16,24,32\}$ and $B=\{5,25,125\}$ and $R$ is relation defined from A to B such that $aRb$ means $a<b$ for all $a\in A,b\in B$ and $(a,b)\in R,$ then $R=$ ___.

• A. $R=\left\{\right(8,25),(8,125),(8,5),(16,25),(24,25),(32,5),(32,25\left)\right\}$
• B. $R=\left\{\right(8,25),(8,125),(16,25),(16,125),(24,25),(24,125),(32,125\left)\right\}.$
• C. $R=\left\{\right(16,25),(16,125),(24,5),(24,25),(24,125),(32,25),(32,125\left)\right\}$
• D. $R=\left\{\right(16,5),(16,125),(16,25),(24,25),(24,5),(24,125),(32,25\left)\right\}$

Answer 1

The correct option is B

$R=\left\{\right(8,25),(8,125),(16,25),(16,125),(24,25),(24,125),(32,125\left)\right\}.$

$R$ is relation defined from A to B such that $aRb$ means $a<b$ for all $a\in A,b\in B$ and $(a,b)\in R.$
Then, $R=\left\{\right(8,25),(8,125),(16,25),(16,125),(24,25),(24,125),(32,125\left)\right\}.$