Question

Can someone help me understand this question?

Consider the mathematical sentence 2 ≠ 3.
Is there any variable or constant that you could add to or subtract from both sides, or
multiply or divide both sides by using the Properties of Equality to make both sides equal?
Choose variables and constants to create new mathematical sentences to justify
your conclusion.

Answer 1

It is not possible to make both sides of the mathematical equation 2 ≠ 3 equal by using the Properties of Equality. This is because the equation is already in reduced form and there is no way to simplify it further.

If we try to apply the Properties of Equality to this equation, we can see that it is not possible to make both sides equal. For example, if we try to add or subtract a constant or variable to both sides, the result will not be modified. If we try to multiply or divide both sides by a constant or variable, the result will also not be modified.

Therefore, it is not possible to make both sides of the mathematical equation 2 ≠ 3 equal using the Properties of Equality.