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 twovariable linear inequalities are very much the same.
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