So we know that an ordered pair looks like (x,y), right? For this inequality, we're supposed to plug in the values of x and y. If it isn't true, then the inequality does not represent the ordered pair.
First option: (0,1)
[tex]2x + 3y \geq -1[/tex] --> [tex]2(0) + 3(1) \geq -1[/tex] --> [tex]5 \geq -1[/tex]
So this option is correct.
Second option: (-2,1)
[tex]2x + 3y \geq -1 --> 2(-2) + 3(1) \geq -1[/tex]
--> [tex]-4 + 3 \geq -1 --> -1 \geq -1[/tex]
This is also correct.
Third option: (-6,0)
[tex]2(-6) + 3(0) \geq -1 --> -12 \geq -1[/tex]
This is not true, so this option is not correct.
Fourth option: (0,-1)
[tex]2(0) + 3(-1) \geq -1 --> -3 \geq -1[/tex]
This is not correct.
Fifth option: (2,-1)
[tex]2(2) + 3(-1) \geq -1 --> 4 - 3 \geq -1[/tex]
This is correct.
