Which of the following points is a solution to the system of linear inequalities
which of the following points is a solution to the system of linear inequalities?
{2x+y< -5
{-x+y> 0
a.
(4, 1)
b.
(–4, –1)
c.
(–8, –21)
d.
(8, 11)

For it to be a solution, it has to satisfy both inequalities...

subbing in (-4,-1)

2x + y < -5                           -x + y > 0
2(-4) - 1 < - 5                      -(-4) - 1 > 0
-8 - 1 < -5                              4 - 1 > 0
-9 < -5true                        3 > 0true

solution is (-4,-1)