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How do you solve a system of linear inequalities in one variable?

Sagot :

Using addition/subtraction properties to move the variable term to one side and all other terms to the other side.

What is a solution set to an inequality or an equation?

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solutions to that equation or inequality. A set of such values is called a solution set to the considered equation or inequality.

Solving Linear Inequalities with One Variable:

A solution to a linear inequality is a real number that will produce a true statement when substituted for the variable. Linear inequalities have either infinitely many solutions or no solution. If there are infinitely many solutions, graph the solution set on a number line and/or express the solution using interval notation.

All but one of the techniques learned for solving linear equations apply to solve linear inequalities. You may add or subtract any real number to both sides of an inequality, and you may multiply or divide both sides by any positive real number to create equivalent inequalities.

For example:

10 > −5

Subtract 7 on both sides:

10 −7 > −5−7        

3 >  −12              

Subtracting 7 from each side results in an inequality that is true.

Hence, using addition/subtraction properties to move the variable term to one side and all other terms to the other side.

To learn more about the solution set to inequality visit,

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