Answer:
B)
![-5x + 2y + 1 > 0](https://img.qammunity.org/2020/formulas/mathematics/middle-school/lapf0mikrv5i5sdy0gyzihd3oxplcvsegf.png)
Explanation:
Given point is (-2,-1)
to find out which inequality satisfies this point we plug in x and y value of the given point in each inequality
A)
![5x - 2y + 1 > 0](https://img.qammunity.org/2020/formulas/mathematics/middle-school/2g44hxaholyohmi0rss5rj42q7sjc0ih9e.png)
x=-2 and y=-1
![5(-2) - 2(-1) + 1 > 0](https://img.qammunity.org/2020/formulas/mathematics/middle-school/2br6h6i9ywoxe4xr6i74r05bv6vn7f4pbf.png)
![-10+2+1>0](https://img.qammunity.org/2020/formulas/mathematics/middle-school/pgemw6mo1b46kvzunbaa6z3rq3w9g8yak0.png)
is False
B) -5x + 2y + 1 > 0
![-5(-2) +2(-1) + 1 > 0](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ecm6pbm72xa63l05fzfuzdsnu6jgwip8yi.png)
![10-2+1>0](https://img.qammunity.org/2020/formulas/mathematics/middle-school/dns3sohn0e9hhv6nxvvh1b19fdwe8wxtma.png)
is True
C) -2x + 5y - 1 > 0
![-2(-2) +5(-1) -1 > 0](https://img.qammunity.org/2020/formulas/mathematics/middle-school/y7usrm8ewrxtcrt8nxbnzf8h0qgmhgpijv.png)
![4-5-1>0](https://img.qammunity.org/2020/formulas/mathematics/middle-school/tajh825zxzdrcvd35zbr1y2z364vv3sz85.png)
is False
D) 2x + 5y - 1 > 0
![2(-2) +5(-1) - 1 > 0](https://img.qammunity.org/2020/formulas/mathematics/middle-school/cjid2alp9zch9rz3ukl5fsq9evwy5a0cou.png)
![-4-5-1>0](https://img.qammunity.org/2020/formulas/mathematics/middle-school/xplgmf1c43njpsevt6qain17wmduthz4l3.png)
is False