Answer :
You basically plug in the coordinate points in each x and y. (1, 4) is (x,y)
2(4) - 1 is less than or equal to -6.
8 - 1 is less than or equal to -6.
7 is less than or equal to -6. You know that 7 is greater than -6 so you can cross off A as one of your possible answers.
(2, -2) is (x, y)
2(-2) - 2 is less than or equal to -6
-4 - 2 is less than or equal to -6
-6 is less than or equal to -6. You know that -6 is equal to -6 so you know that B is one of your answer choices.
(-3, 0) is (x, y)
2y - x is less than or equal to -6
2(0) - (-3) is less than or equal to -6
3 is less than or equal to -6. 3 is greater than -6 so C is not your answer.
Only answer choice B fits in with the equation.
2(4) - 1 is less than or equal to -6.
8 - 1 is less than or equal to -6.
7 is less than or equal to -6. You know that 7 is greater than -6 so you can cross off A as one of your possible answers.
(2, -2) is (x, y)
2(-2) - 2 is less than or equal to -6
-4 - 2 is less than or equal to -6
-6 is less than or equal to -6. You know that -6 is equal to -6 so you know that B is one of your answer choices.
(-3, 0) is (x, y)
2y - x is less than or equal to -6
2(0) - (-3) is less than or equal to -6
3 is less than or equal to -6. 3 is greater than -6 so C is not your answer.
Only answer choice B fits in with the equation.