Question

Which ordered pairs are solutions to the inequality y−4x≤−6y−4x≤−6 ? select each correct answer. (3, 5)(3, 5) (−2, −14)(−2, −14) (−1, −9)(−1, −9) (0, −5)(0, −5) (1, 3)

Answer 1

y - 4x ≤ -6y - 4x ≤ -6
We add 6y and 4x to each equality
7y ≤ 0 ≤ 6y + 4x -6

Observing:
7y ≤ 0, we see that the values of y can be only negative or 0, not positive.
So we are left with (-2,-14) (-1,-9) (0,-5)
We check the second equality:
6y + 4x - 6 ≥ 0 for these 3
None of the inequalities satisfy the given expressions simultaneously.