use points in the form (x,y)
point (0,6) is not a solution
[tex]\begin{gathered} 6\leq2(0)+4 \\ 6\leq4\longrightarrow\text{ FALSE } \end{gathered}[/tex]point (2,3) is a solution
[tex]\begin{gathered} 3\leq2(2)+4 \\ 3\leq8\longrightarrow\text{ TRUE } \end{gathered}[/tex]point (-4,1) is not a solution
[tex]\begin{gathered} 1\leq2(-4)+4 \\ 1\leq-4\longrightarrow\text{ FALSE } \end{gathered}[/tex]point (0,4) is a solution
[tex]\begin{gathered} 4\leq2(0)+4 \\ 4\leq4\longrightarrow\text{ TRUE } \end{gathered}[/tex]