Answer the questions based on the compound statement 4≤5(1−p)<14.
a. (i) Solve the compound inequality and express the solution set for p in interval notation.
b. (ii) Show that multiplying each part of the inequality in (i) by −51 reverses the inequality symbols and leads to the correct solution. Give a clear algebraic justification for each reversal.
c. (iii) If the value of p obtained in part (i) is required to be an integer, list all admissible integers and verify any two of them by substitution in the original compound statement.