Recall that an ordered pair is a solution of a system of inequalities if it satisfies each inequality.
Notice that:
[tex]6\times(-\frac{7}{2})+5\times\frac{1}{5}=-21+1=-20.[/tex]
Since -20<-1, then the ordered pair:
[tex](-\frac{7}{2},\frac{1}{5})[/tex]
does not satisfy the first inequality.
Therefore, the given ordered pair does not satisfy the given system of inequalities.
Answer: No.
