Question

Solve for n:

−np − 3 ≥ 7(c − 4)

Answer 1

The first thing you need to do is distribute the 7 into the set of parenthesis on the right. That will give you
`-np-3 \geq 7c-28`. Then add 3 to both sides:
`-np \geq 7c-25`. Divide both sides by p to get
`-n \geq (7c-25)/(p)`. Now divide both sides by -1. This is where the sign of inequality is going to change direction. That's why I saved it til last so we could make a point of making sure it gets done.
`n \leq -( (7c-25)/(p))` and if you distribute the negative in your solution is
`n \leq (-7c+25)/(p)`. Or you could write the positive expression first, as many of us prefer:
`n \leq (25-7c)/(p)`. There you go!