Solve the following compound inequality and present the solution set both on a number line and in interval notation:
a. (i) −4<2(3−x)≤5−2x
b. (ii) Show each algebraic step used to isolate x, clearly indicating where (if anywhere) the inequality symbol changes direction.
c. (iii) Verify the final answer by testing one value of x from within the obtained solution interval and one value outside it.