Question

The relation $R$ defined on the set of natural numbers as $\left\{\right(a,b):a$ exceeds $b$ by $3\}$, is given by

• A. None of these
• B. $\left\{\right(1,4),(2,5),(3,6),.....\}$
• C. $\left\{\right(4,1),(5,2),(6,3),.....\}$
• D. $\left\{\right(1,3),(2,6),(3,9),..\}$

Answer 1

The correct option is C

$\left\{\right(4,1),(5,2),(6,3),.....\}$

$R=\left\{\right(a,b):a,b\in N,a\text{exceeds}b\text{by}3\}$
$=\left\{\right((n+3),n):n\in N\}$

$=\left\{\right(4,1),(5,2),(6,3),.......\}$