how to divide an inequality with a negative number - Why does the sign switch out of nowhere usually after I divide the y-value to both sides

Vivekanand Vellanki (last edited 11 months ago) (Expert, Founder @Qalaxia)

Assuming that you are asking about division by negative numbers, lets take a simple example.

We know that 3 < 5.

Which of the following is true:

A) -3 < -5? or

B) -3 > -5?

B is true, right.

Given that 3 < 5, if I want to multiply both sides by -1; what should happen to the sign? Shouldn't the sign change based on the above example.