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Algebraic Solutions of Linear Inequalities in One Variable and Their Graphical Representation

notes

Any solution of an inequality in one variable is a value of the variable which makes it a true statement. 
Thus, we state the following rules for solving an inequality:

Rule 1:  Equal numbers may be added to (or subtracted from) both sides of an inequality without affecting the sign of inequality.
Rule 2 : Both sides of an inequality can be multiplied (or divided) by the same positive number. But when both sides are multiplied or divided by a negative number, then the sign of inequality is reversed. 

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