(:title Inequality in 2 Variables - Graphing Region in Plane :)
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%ref b%Definition:%% A %red b%linear inequality in 2 variables%% is a [[GlossaryT/LinearEquation|linear equation]] in 2 variables in which the "=" has been replaced by an inequality.
>>-<<%b reg%Regulation:%% The solution set of a linear inequality is a region in the plane bounded by the line of the corresponding linear equation. %dkr s8%(This set includes the points on the line only if inequality includes the equals sign, i.e. is '''not''' a strict inequality).%%
>>-<<%b exa%Examples of linear inequalities in 2 variables:%% %exa%{$ \bbox[border:1px #990000 dotted,1pt]{y>2x-3} $}%% %bgr%{$ \bbox[border:1px #990000 dotted,1pt]{2y+5x \leq 2} $}%% %pra%{$ \bbox[border:1px green dotted,1pt]{3s<2t-2} $}%%
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Goal: Get familiar with the graph of a linear inequality in 2 variables - a region in the plane bounded by a solid or dashed line.

1. In the input box below, type or paste in a linear inequality in 2 variables x and y. Hit Enter and view the resulting region in the plane. * You can type <= for ≤ and >= for ≥ .