Question

Make each expression a true statement

Answer 1

Answer:

( d / c ) < ( a / d )

( b / d ) < ( a / d )

( d / a ) < ( a / d )

Step-by-step explanation:

For this problem, we need to consider the given information that a > b > c > d > 0.  Note that a is the greatest number and that d is the least number.

Given this fact, we can create a fraction that will result in a maximum value by simply doing the following:

a / d

The reason the fraction ( a / d ) results in a maximum, is because of the given information where a is the furthest from 0, and d is the closest to 0.  Therefore, we can say that no other combination will result in a value greater than ( a / d).

So in the three given statements, we have different combinations of fractions being compared to our maximum value fraction.  Our maximum value fraction ( a / d ) will always be greater than any other combination.

Thus, we will choose the sign that makes ( a / d ) greater than the other choice fractions.

Cheers.