Question

State whether the following statement is true or false:

If a > b, then `a/c < b/c`                           

Answer 1

This statement is false.

Explanation:

Given,

a > b

If c is a positive number,

Dividing both sides by c we get,

`a/c > b/c`

If c is a negative number,

Dividing both sides by c we get,

`a/c < b/c` [Using rule 4]