This is a free lesson from our course in Algebra I
In this lesson you learn how to solve linearinequalities and also graph them. An inequality is an algebraic expression with one of these signs:
<, >, <=, >=. For example 2x + 3y >= 5. A
solution of an inequality is a number which when substituted for the variable makes
the inequality a true statement. To graph solution set of linear inequality,for instance,they'd ask you to graph something like x > 2. How did you do it? You would draw your number line, find the "equals" part (in this case, x = 2), mark this point with the appropriate notation (an open dot or a parenthesis, indicating that the point x = 2 wasn't included in the solution), and then you'd shade everything to the right, because "greater than" meant "everything off to the right". The steps for graphing two-variable linear inequalities are very much the same.
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