Which of these ordered pairs is a solution to the inequality 4x+y> -6

Firstly, solve the inequality for y using subtraction:
y > -6 - 4x 
Then plug in the x and y values from the answer until the inequality proves true:
-12 > -6 -4(1)
-12 > -10 (false)
Then the next choice:
-9 > -6 - 4(0)
-9 > -6 (false)
Next choice:
-1 > -6 -4(-1)
-1 > -6 + 4
-1 > -2 (true)
Therefore, C is the correct answer. Hope this helps and let me know if you need more help!