Consider the inequality 5(2x−3)−7<3(4−x)+2x.
a. (i) Solve the inequality and write the solution set in the form {x∣x<α}, where α is a rational number.
b. (ii) Represent the solution on a number line, showing the appropriate open or closed circle.
c. (iii) Choose any integer value of x that lies in the solution set and substitute it into the original inequality to verify your answer.