Question

Which ordered pairs make the inequality true?

3x – y ≤ –6

Choose all answers that are correct.
(Points : 1)
(–4, 2)
(–1, 5)
(2, –3)
(4, 5)

Answer 1

`(-4,2) \\ x=-4 \\ y=2 \\ \Downarrow \\ 3 * (-4)-2 \leq -6 \\ -12-2 \leq -6 \\ -14 \leq -6 \\ true \\ \\ (-1,5) \\ x=-1 \\ y=5 \\ \Downarrow \\ 3 * (-1)-5 \leq -6 \\ -3-5 \leq -6 \\ -8 \leq -6 \\ true \\ \\ (2,-3) \\ x=2 \\ y=-3 \\ \Downarrow \\ 3 * 2 - (-3) \leq -6 \\ 6+3 \leq -6 \\ 9 \leq -6 \\ not \ true`


`(4,5) \\ x=4 \\ y=5 \\ \Downarrow \\ 3 * 4-5 \leq -6 \\ 12-5 \leq -6 \\ 7 \leq -6 \\ not \ true`

The ordered pairs (-4,2) and (-1,5) make the inequality true.