Yes, the results of dividing X by a negative value and dividing X by a positive value are different. If we divide X by a negative value, the result will be negative, and if we divide X by a positive value, the result will be positive.
For instance:
It is true that 8 > 2 is unequal.
Divide both sides by 2, then:
True inequality also exists when 4 > 1. Due to the fact that we divided by a positive number, the inequality symbol remained.
Let's begin once more with
8 > 2, and apply a -2 to both sides.
-4 > -1 is erroneous. The inequality is no longer valid if the inequality sign changes when both sides are divided by a negative integer. When dividing both sides by a negative integer, the inequality sign must be changed in order to maintain its validity.
8 > 2
Add a -1 to both sides.
True for -4 < -1.
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