How do you solve #14<= -x/2#?
The issue in this example is the fact that the x-term is negative.
In working with inequalities, if you divide or multiply by a negative number, the inequality sign in the middle changes around.
It is better to avoid the problem altogether by moving the x term to the other side. As this is done by ADDING to both sides, there is not a problem.
Now, multiply both sides by 2 to get
The other method would be as follows:
This can be written better as