#### Answer

This is not a true statement; therefore, (1, 1) is not a solution for this inequality.

#### Work Step by Step

If we plug in $1$ for $x$ and $1$ for $y$, then we get:
$$1 \leq \frac{2}{3}(1)$$
Multiply out to simplify:
$$1 \leq \frac{2}{3}$$
This is not a true statement; $1$ is not less than or equal to $\frac{2}{3}$. Therefore, (1, 1) is not a solution for this inequality.