Solve each of the following system of equations in R. 9. 3x − 1 ≥ 5, x + 2 > −1

$3 x-1 \geqslant 5$

$\Rightarrow 3 x \geqslant 5+1$

$\Rightarrow x \geq 2$

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

Also, $x+2>-1$

$\Rightarrow x>-1-2$

$\Rightarrow x>-3$

$\Rightarrow x \in(-3, \infty)$              ...(ii)

Hence, the solution of the given set of inequalities is the intersection of (I) and (ii).

$[2, \infty) \cap(-3, \infty)=[2, \infty)$

Thus, the solution of the given set of inequalities is $[2, \infty)$.