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It means to find all the numbers for which the inequality is true.

Q: What is solving inequalities?

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Yes, you must.

Yes

It is important to know several techniques for solving equations and inequalities because one may work better than another in a particular situation.

What's your question? To solve an absolute value inequality, knowledge of absolute values and solving inequalities are necessary. Absolute value inequalities can have one or two variables.

it often simplifies arithmetic

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Solving inequalities and equations are the same because both have variables in the equation.

Yes, you must.

Yes

Bogomol'nyi-Prasad-Sommerfield bound is a series of inequalities for solutions. This set of inequalities is useful for solving for solution equations.

It is important to know several techniques for solving equations and inequalities because one may work better than another in a particular situation.

What's your question? To solve an absolute value inequality, knowledge of absolute values and solving inequalities are necessary. Absolute value inequalities can have one or two variables.

its not much different besides the fact it has a '<' or a '>' insted of a '='. and you have to add/subtract/etc. a little diffrent.

it often simplifies arithmetic

Solving linear systems means to solve linear equations and inequalities. Then to graph it and describing it by statical statements.

Mainly, in the case of simple inequalities, you have to remember that when multiplying or dividing by a negative number, the direction of the inequality changes, for example, from greater-than to less-than or vice versa. Also, for more complicated inequalities, such as those that involve polynomials or absolute values, additional steps are required.

It represents the solution set.

It makes it allot less confusing. But, that is just my opinion.