The given inequality is 3x + 8 > 2.
\\(\\begin{array}{l}{3 x+8>2} \\\\ {\\Rightarrow 3 x+8-8>2-8} \\\\ {\\Rightarrow 3 x>-6} \\\\ {\\Rightarrow \\frac{3 x}{3}>\\frac{-6}{3}} \\\\ {\\Rightarrow x>-2}\\end{array}\\)
(i) The integers greater than –2 are –1, 0, 1, 2, …
Thus, when x is an integer, the solutions of the given inequality are
–1, 0, 1, 2 …
Hence, in this case, the solution set is {–1, 0, 1, 2, …}.
(ii) When x is a real number, the solutions of the given inequality are all the real numbers, which are greater than –2.
Thus, in this case, the solution set is (– 2, ∞).