Why does the inequality sign change when both sides are multiplied or divided by a negative number? Does this happen with equations? Why or why not?

4 answers

Numbers are organized with negative numbers valued less than zero (n<0), while positive numbers are valued more than zero (n>0).

In other terms:

X > 0
-X < 0

It does not happen with equations, because they are "equal" rather than "greater than" or "less than."

I hope this helps. Thanks for asking.
Because when you multiply or divide any number (a positive or a negative number) by a negative number you will automatically change the sign of the number you are performing the operation on. In an inequality you will then reverse the relationship between the numbers on each side of the inequality. Use some examples like: 2 less than 3 divided by -1 and you will see that the answer is -2 is greater than -3.

The equality of an equation is never changed if you perform the same operation on each side of the equation. Example: 2 + 2 = 4. If you add, subtract, multiply or divide each side of the equation by the same number the result will be an equality. Keep in mind that addition and multiplication are the only operations and that subtraction and division are only reverse addition and multiplication.
I am still getting confused when trying to solve.
no