Question

Given that a and b are real numbers such that a > b, describe the real numbers c, if any, for which each statement is true. a/c > b/c

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Answer 1

For the inequality a/c > b/c to hold true given that a > b, the real number c must be positive and non-zero.

Step-by-step explanation:

The inequality a/c > b/c is true under certain conditions regarding the real number c. Since a is greater than b (a > b), dividing both by the same non-zero number should keep the inequality the same, provided that this number is positive. However, if c is negative, the inequality will reverse, such that a/c < b/c. Thus, for a/c > b/c to hold true, c must be a positive non-zero real number.