# How do you solve and write the following in interval notation: -y<-8?

Jul 2, 2017

See a solution process below:

#### Explanation:

First, multiply each side of the inequality by $\textcolor{b l u e}{- 1}$ to solve for $y$ while keeping the inequality balanced. However, because we are multiplying an inequality by a negative term we must reverse the inequality operator:

$\textcolor{b l u e}{- 1} \times - y \textcolor{red}{>} \textcolor{b l u e}{- 1} \times - 8$

$y > 8$

Or, in interval notation:

$\left(8 , + \infty\right)$

Jul 2, 2017

$\left(8 , \infty\right)$

#### Explanation:

First, let's isolate for $y$

$- y < - 8$

divide by $- 1$ on both sides

$y \textcolor{red}{>} 8$

when you divide/multiply by a negative number, the sign changes

So now our equation is $y > 8$, or $y$ is larger that 8. If we graph it, it looks somethi ng liek ths:
graph{y > 8}

We can see that our range is from $8$ to $\infty$. If we wqant to write that in interval notation, we'd write it like this:
$\left(8 , \infty\right)$
from $8$, to infinity