What happens when you multiply each side of the inequality by the same number

Multiplying both sides of an inequality by a positive number doesn't change the direction of the inequality symbol. Nor does dividing. say if i had

3 variables.

- a < b

- c being a negative number

a * c > b * c

example:

4 (-6) > 5 (-6) would make this statement true: - 24 > - 30