# How do you solve and graph -1<2b<8?

Jun 4, 2015

Division of all terms of an inequality by any positive value does not effect the orientation of the inequality.

Therefore
$\textcolor{w h i t e}{\text{XXXX}}$$- 1 < 2 b < 8$
is equivalent to
$\textcolor{w h i t e}{\text{XXXX}}$$- \frac{1}{2} < b < 4$

Graphed on a number line: