Question

If relation R$=\left\{\right(x,x+2):x\in N,1\le x<4\}$ then R is

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

Answer 1

The correct option is A $\left\{\right(1,3),(2,4),(3,5\left)\right\}$

We have $x\in N,1\le x<4$
$\Rightarrow x=1,2,3$
Hence $R=\left\{\right(1,3),(2,4),(3,5\left)\right\}$