Recall that an ordered pair is a solution of a system of inequalities if it satisfies each inequality.
Notice that:
![6*(-(7)/(2))+5*(1)/(5)=-21+1=-20.](https://img.qammunity.org/2023/formulas/mathematics/college/sk80q4wd71nso9oqbuv8ph8rmv51jj2bw1.png)
Since -20<-1, then the ordered pair:
![(-(7)/(2),(1)/(5))](https://img.qammunity.org/2023/formulas/mathematics/college/drm0dzmvvg0uk6n8ujqbrm5lrk0rvit4lb.png)
does not satisfy the first inequality.
Therefore, the given ordered pair does not satisfy the given system of inequalities.
Answer: No.