toThe given system of inequalities is
![\begin{gathered} y\ge-x+1\rightarrow(1) \\ y\leq-13x+7 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/8rh8joldpugznruuv97mw49fe322l91ygn.png)
Inequality (1) has a shaded region over the line
Inequality (2) has a shaded region under the line
Let us look to the given graph to find it
The region D will have the common solutions of the given inequalities
The answer is B