Final answer:
When finding the domain, dividing by a negative changes the direction of the greater than sign to less than.
Step-by-step explanation:
When finding the domain, dividing by a negative changes the direction of the greater than (>) sign to less than (<). This is because dividing by a negative number essentially reverses the order of the numbers on the number line.
For example, if we have the inequality x > -3 and we divide both sides by -1, we get x < 3. So the greater than sign flips to a less than sign.
This is a rule that holds true in algebra and helps us determine the correct sign for the inequality when dividing by a negative number.