Final answer:
The statement (-a)/(-b) = c is True, with the understanding that (-a) and (-b) are positive due to the negation of negative numbers, and thus their quotient would also be positive.
Step-by-step explanation:
The given question asks if the statement (-a)/(-b) = c is true. To answer this, we must recognize a fundamental rule of division with negative numbers. According to the rules of arithmetic, specifically the rule that states 'the quotient of two numbers with the same sign is positive', we can deduce that if both a and b are negative, then -a and -b would be positive. Consequently, the division of two positive numbers would result in a positive quotient.
So, given that -a and -b are both negative, -a/-b must yield a positive quotient. Therefore, the result of this division could indeed be a positive number c, making the statement (-a)/(-b) = c a true statement, provided that c is positive. However, without information on the sign of c, we cannot unequivocally declare the statement true for all values of c. In this specific context, the answer is True but with the caveat regarding the sign of c.