# How do you solve 1<3x+4<10?

Jul 8, 2015

$- 1 < x < 2$

#### Explanation:

Adding or Subtracting a constant from each component of an inequality and Multiplying or Dividing by a constant greater than $0$, does not effect the orientation of the inequality.

So
$\textcolor{w h i t e}{\text{XXXX}}$$1 < 3 x + 4 < 10$
becomes by subtracting $4$ from each component
$\textcolor{w h i t e}{\text{XXXX}}$$- 3 < 3 x < 6$
which becomes by dividing each component by $3$
$\textcolor{w h i t e}{\text{XXXX}}$$- 1 < x < 2$