Solve the following questions on linear inequalities involving fractional and decimal coefficients.
a. (i) Solve 0.6y−2.4≤−0.9 and express the solution set in interval notation.
b. (ii) For the inequality 53z−107>0, find the least integral value of z that satisfies the inequality.
c. (iii) Verify whether z=3 satisfies the inequality in part (ii) and justify your answer by direct substitution.