# How do you solve -25 < 5(w + 3)?

May 9, 2015

The solution is $w > - 8$ .

Solve $- 25 < 5 \left(w + 3\right)$.

Flip the inequality to get w on the left side.

$5 \left(w + 3\right) > - 25$

Distribute the 5.

$5 w + 15 > - 25$

Subtract 15 from both sides.

$5 w + 15 - 15 > - 25 - 15$ =

$5 w > - 40$

Divide both sides by 5.

$\frac{5 w}{5} > - \frac{40}{5}$ =

$w > - 8$

Note: If you don't flip the expression to get w on the left side, the solution will be $- 8 < w$, which is the same answer.