# How do you solve the inequality 3 (y - 9) > 15 + 3w?

May 18, 2018

$y > w + 14$

$y - 14 > w$

#### Explanation:

Let's start by distributing the $3$ on the left side. Doing this, we get

$3 y - 27 > 3 w + 15$

Let's add $27$ to both sides to get

$3 y > 3 w + 42$

Let's divide all terms by $3$ to get

$y > w + 14$

We have our inequality solved in terms of $y$, but we can also get it in terms of $w$. We can subtract $14$ from both sides to get

$y - 14 > w$

Hope this helps!