Question

How do you solve `14<= -x/2`?

Answer 1

`x <= -28`

Explanation:

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.
`14 <= -x/2 " can be changed to " x/2 <= -14`

Now, multiply both sides by 2 to get `x <= -28`

The other method would be as follows:
`14 <= -x/2" multiply both sides by -2"`

`-2 xx 14 >= -x/2 xx-2 " note the sign change in the middle"`
`-28 >= x`
This can be written better as `x <= -28`