Question #90a80

1 Answer
Jan 10, 2018

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.