# How do you solve and write the following in interval notation: - 5<a -6<2?

Jun 29, 2017

See a solution process below:

#### Explanation:

Add $\textcolor{red}{6}$ to each segment of the system of inequalities to solve for $a$ while keeping the equation balanced:

$- 5 + \textcolor{red}{6} < a - 6 + \textcolor{red}{6} < 2 + \textcolor{red}{6}$

$1 < a - 0 < 8$

$1 < a < 8$

Or

$a > 1$ and a < 8)

Or, in interval notation:

$\left(1 , 8\right)$