The given inequality is 5x– 3 < 7.
(i) The integers less than 2 are …, –4, –3, –2, 1, 0, 1.
Thus, when x is an integer, the solutions of the given inequality are …, –4, –3, –2, –1, 0, 1.
Hence, in this case, the solution set is {…, –4, –3, –2, –1, 0, 1}.
(ii) When x is a real number, the solutions of the given inequality are given by x < 2, that is, all real numbers x which are less than 2. Thus, the solution set of the given inequality is x ∈ (–∞, 2).
