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I’m trying to understand where I should shade a graph given the narrative

I’m trying to understand where I should shade a graph given the narrative-example-1

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we have the system


\begin{gathered} x+y\leq4 \\ y\leq-x+4 \end{gathered}

The solution to the first inequality is the shaded area below the solid line y=-x+4


x\ge2

The solution to the second inequality is the shaded area to the right of the solid vertical line x=2

therefore

The solution to the system is the shaded area below the solid line y=-x+4 and to the right of the solid vertical line x=2

using a graphing tool

see the attached figure below

The solution is the triangular area

I’m trying to understand where I should shade a graph given the narrative-example-1
User Mert MET?N
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