Solve each of the following system of equations in R. 3. x − 2 > 0,

We have, $x-2>0$

$\Rightarrow x>2$

$\Rightarrow x \in(2, \infty) \ldots$ (i)

Also, $3 x<18$

$\Rightarrow x<6$

$\Rightarrow x \in(-\infty, 6) \ldots$ (ii)

Solution of the given set of the inequations is intersection of (i) and (ii)

$(2, \infty) \cap(-\infty, 6)=(2,6)$

Thus, $(2,6)$ is the solution of the given set of inequalities.