Step 1:
(3,6) means x coordinate is 3 and y coordinate 6
Step 2:
We substitute the values of x = 3 and y = 6 into the inequality
[tex]\begin{gathered} y\text{ }\leq\text{ }\frac{2}{3}\text{ }x\text{ + 4} \\ 6\text{ }\leq\text{ }\frac{2}{3}\text{ x }\frac{3}{1}\text{ + 4} \\ 6\text{ }\leq\text{ 2 + 4} \\ 6\text{ }\leq\text{ 6} \end{gathered}[/tex]Conclusion:
Since 6 is equal to 6, then (3,6) is a solution of the given Inequality