Answer: A difference between equality and inequality properties that you should consider when solving equations and inequalities is the effect that some operations have on the sign.
Explanation:
1) Due to the multiplicative nature of the equal sign, both elements (sides) can be multiplied by the equal sign by the factor and the equal sign is preserved. But for inequalities, the inequality follows when the factor is positive, but changes the sign of the inequality when the factor is negative.
2) Dividing properties are similar:
3) When using other functions such as absolute value or square root, you should also be aware of the effect of the function on the equality sign.