Question

Two integers, a and b have different signs. The absolute value of integer that got this description. Then decide if the product of the integers is greater than or less than the quotient of the integers. Show your work.

Answer 1

Since a and b have opposite signs then both the product and quotient will be negative. The absolute value of a · b will be greater than the absolute value of $\frac{a}{b}$.

Without the absolute value sign, then since both the product and the quotient are negative, a · b < $\frac{a}{b}$

Answer: the product is less than the quotient