# Show that a multi-valued function (Budget set) is continuous

Given an exchange economy of two goods and one consumer, with initial good $\omega=(4,3)$. Show that the multi-valued function
$\varphi{(p)}=B_{\omega}(p)=\left \{x \in \mathbb{R}_{+}^{2} | p \cdot x \leq p \cdot \omega \right \}, p>>0$