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$$\begin{gathered} \mathrm{We} \mathrm{will} \mathrm{take} \mathrm{origin} \mathrm{as} \mathrm{reference} \mathrm{point}. \\ \mathrm{First} \mathrm{consider} \\ \mathrm{x}+2\mathrm{y}=8 \\ \Rightarrow \mathrm{x}+2\mathrm{y}-8=0 \\ \mathrm{On} \mathrm{putting} \left(0,0\right) \mathrm{we} \mathrm{get} 0+0-8=-8<0 \\ \Rightarrow \mathrm{x}+2\mathrm{y}-8\le 0 \\ \mathrm{Now} \mathrm{consider} \\ \mathrm{x}-\mathrm{y}=1 \\ \Rightarrow \mathrm{x}-\mathrm{y}-1=0 \\ \mathrm{On} \mathrm{putting} \left(0,0\right) \mathrm{we} \mathrm{get} 0+0-1=-1<0 \\ \Rightarrow \mathrm{x}-\mathrm{y}-1\le 0 \\ \mathrm{Now} \mathrm{consider} \\ 2\mathrm{x}+\mathrm{y}=2 \\ \Rightarrow 2\mathrm{x}+\mathrm{y}-2=0 \\ \mathrm{On} \mathrm{putting} \left(0,0\right) \mathrm{we} \mathrm{get} 0+0-2=-2<0 \\ \Rightarrow 2\mathrm{x}+\mathrm{y}-2\le 0 \\ \mathbf{Hence}\mathbf{ }\mathbf{linear}\mathbf{ }\mathbf{inequations}\mathbf{ }\mathbf{are}\mathbf{:} \\ \mathbf{x}\mathbf{+}\mathbf{2}\mathbf{y}\mathbf{-}\mathbf{8}\mathbf{\le }\mathbf{0} \\ \mathbf{x}\mathbf{-}\mathbf{y}\mathbf{-}\mathbf{1}\mathbf{\le }\mathbf{0} \\ \mathbf{2}\mathbf{x}\mathbf{+}\mathbf{y}\mathbf{-}\mathbf{2}\mathbf{\le }\mathbf{0} \end{gathered}$$

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