In an examination, a student’s scores in Mathematics (M) and Physics (P) must satisfy the following conditions:
(i) Translate each condition into a mathematical inequality in M and/or P.
(ii) Using the inequalities from part (i) together with the given range for P, deduce the complete range of values that M can take.
(iii) Determine whether M can be an integer prime number. Give reasons for your answer based on the range found in part (ii).