Question

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

Answer 1

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