Answer:
The ordered pairs are (5,-12), (-1,-1).
Step-by-step explanation:
Given : Inequality [tex]2x+y>-4[/tex]
To find : Which ordered pairs are solutions to the inequality ?
Solution :
We put the given options the point which satisfied the equation is the solution.
Inequality [tex]2x+y>-4[/tex]
1) (5,-12)
[tex]2(5)+(-12)>-4[/tex]
[tex]10-12>-4[/tex]
[tex]-2>-4[/tex]
It is true.
2) (-1,-1)
[tex]2(-1)+(-1)>-4[/tex]
[tex]-2-1>-4[/tex]
[tex]-3>-4[/tex]
It is true.
3) (-3,0)
[tex]2(-3)+(0)>-4[/tex]
[tex]-6+0>-4[/tex]
[tex]-6>-4[/tex]
It is false.
4) (4,-12)
[tex]2(4)+(-12)>-4[/tex]
[tex]8-12>-4[/tex]
[tex]-4>-4[/tex]
It is false.
Therefore, The ordered pairs are (5,-12), (-1,-1).
