Question

Question #90a80

Answer 1

No solutions.

Explanation:

`6y - 9 <= 4y + 2y - 16`

`6y - 9 <= 6y - 16`

`6y <= 6y - 7`

To more easily think about this logically, let's substitute `6y` for `n`.

`n <= n - 7`

Now, is it ever possible for a number to be less than or equal to 7 less than itself? This is simply impossible, so there is no solution.

Algebraically, we can see why there is no solution by continuing to solve as normal.

`6y <= 6y - 7`

`0 <= -7`

As we know, `0` is never less than or equal to `-7`, so there are no values for `y` for which `6y - 9 <= 4y + 2y - 16`.