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The main difference is that when solving inequalities, if you multiply or divide by a negative number you have to be careful, since you then also have to switch the sign (for example, change a "less-than" sign to a "greater-than" sign). If you multiply or divide by an expression that contains a variable, you have to consider the two cases: that such an expression might be positive, or that it might be negative.

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Q: What are some differences between equations and inequalities?

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The set of real numbers is not closed under powers. That is to say, there are some equations of the form y = xa which do not have a solution within the set. Typical example: x is negative, a = 0.5

An expression is any combination of symbols that can be evaluated to a number (or perhaps to some other data type). An equation has an equal sign, and an expression on both sides of the equal sign - it is a claim that the two expressions are equal.

The idea is to work with the same variables, but it is possible that some of the variables are missing in some of the equations.

None - except that some people are, unreasonably, uncomfortable with equations.

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Supporters of capitalism think a society of massive inequalities of wealth and power is defensible. Socialists reject capitalism and stand for a classless society based on production for use.

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Alois Kufner has written: 'Raum und Entfernung' 'Some applications of weighted Sobolev spaces' -- subject(s): Boundary value problems, Elliptic Differential equations, Sobolev spaces 'Weighted inequalities of Hardy type' -- subject(s): Inequalities (Mathematics), Integral inequalities

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