# How do you solve and write the following in interval notation: 6-8(y+3) + 5y > 5y-(2y-5)+13?

Jul 24, 2018

$y < - 93$
Interval notation: $\left(- \infty , - 93\right)$

#### Explanation:

$6 - 8 \left(y + 3\right) + 5 y > 57 - \left(2 y - 5\right) + 13$

Distribute/expand:
$6 - 8 y - 24 + 5 y > 57 - 2 y + 5 + 13$

Simplify each side:
$- 18 - 3 y > 75 - 2 y$

Add $\textcolor{b l u e}{3 y}$ to both sides and subtract $\textcolor{b l u e}{75}$ from both sides:
$- 93 > y$

Therefore,
$y < - 93$

Interval notation: $\left(- \infty , - 93\right)$

The parenthesis means that the numbers are between negative infinity and $- 93$, but not including $- 93$. It's anything less than $- 93$.

Hope this helps!