Which ordered pairs are solutions to the inequality y−4x≥−5y ?

select each correct answer.

(1, −1)

(5, −2)

(−2, 1)

(−4, 2)

(4, 0)

To solve this, I would initially simplify this by adding 5y to each side. This gives us the following: 6y - 4x ≥ 0 Now we can plug in our coordinates! Let's take (1, -1) first. 6(-1) - 4(1) ≥ 0 -6 - 4 ≥ 0 If we evaluate this, we get -10, invalidating this inequality. Let's take the next one, (5, -2) now. 6(-2) - 4(6) ≥ 0 -12 - 24 ≥ 0 This is not true, so the second one is not correct either. If you go through each pair plugging x and y in, you can determine which ones are correct by checking if it makes sense when done. The answers are (-2, 1) and (-4, 2). Hope this helps!