Question

Which coordinates are not of the vertices of the feasible region for the system of inequalities?

y < 4
x < 5
x + y > 6

Select one:
a. (5,1)
b. (0,6)
c. (2,4)
d. (5,4)

Answer 1

$\left\{\begin{array}{ccc}y \ \textless \ 4\\x \ \textless \ 5\\x+y \ \textgreater \ 6\end{array}\right\\\\A.\ (5;\ 1)\to x=5\ and\ y=1\to x=5\ it's\ not\ less\ 5\\\\B.\ (0;\ 6)\to x=0\ and\ y=6\to y=6\ it's\ not\ less\ 4\\\\C.\ (2;\ 4)\to x=2\ and\ y=4\to x+y=2+4=6\ it's\ not\ greater\ 6\\\\D.\ (5;\ 4)\to x=5\ and\ y=4\to x=5\ it's\ not\ less\ 5\ and\ y=4\ it's\ not\ less\ 4$

Conclusion: Your question hasn't solution in your answers.