Answer:
B) [tex]-5x + 2y + 1 > 0[/tex]
Step-by-step 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) [tex]5x - 2y + 1 > 0[/tex]
x=-2 and y=-1
[tex]5(-2) - 2(-1) + 1 > 0[/tex]
[tex]-10+2+1>0[/tex]
[tex]-7>0[/tex] is False
B) -5x + 2y + 1 > 0
[tex]-5(-2) +2(-1) + 1 > 0[/tex]
[tex]10-2+1>0[/tex]
[tex]9>0[/tex] is True
C) -2x + 5y - 1 > 0
[tex]-2(-2) +5(-1) -1 > 0[/tex]
[tex]4-5-1>0[/tex]
[tex]-2>0[/tex] is False
D) 2x + 5y - 1 > 0
[tex]2(-2) +5(-1) - 1 > 0[/tex]
[tex]-4-5-1>0[/tex]
[tex]-10>0[/tex] is False
