An integer m is said to have the divides property provided that for all integers a and b, if m divides ab, then m divides a or m divides b.

(a) Using the symbols for quantifiers, write what it means to say that the integer m has the divides property.

(b) Using the symbols for quantifiers, write what it means to say that the integer m does not have the divides property.

(c) Write an English sentence stating what it means to say that the integer m does not have the divides property.