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To 'balance" an equation you need to add, subtract, divide or multiply both sides of an equation to make it simpler eg. 3x=30, 1x=10.

Make both sides equal and you will eventually find an answer, in this case you divide both 3 and 30 by 3 to find that x=10.

If you divided one side of the equation by 3 and subtracted the other side by 3 that would be an equalty in the equation.

an inequality is just two math phrases which do not equal each other. When SOLVING inequalities you basically solve it as you would a normal equation, remembering to change the direction of the sign when you move certain things.When you have a fraction you do as you would in a normal equation: multiply the opposite side by the denominator.

(usually you're trying to set one side to zero if you can)

It's just like a normal equation but they use inequality symbols like greater than or less than

Like 5>3 (5 is greater than or 5<x<10 (x is greater than 5 but less than 10) there may be more than one solution that makes it true

Graphing them is a little different

An inequality is simply when one value is NOT equal to the other. For example, 4 and 6 are not equal values, so they are inequalities. You write inequalities with "geater than" symbols (>) or "less than" symbols (<).