# How do you solve and write the following in interval notation: -5<3x + 4?

##### 1 Answer
Jul 26, 2016

$- 5 < 3 x + 4 \textcolor{w h i t e}{\text{XX")rArrcolor(white)("XX}} - 3 < x$
$\textcolor{w h i t e}{\text{XXXXX}} x \in \left(- 3 , + \infty\right)$

#### Explanation:

Given
$\textcolor{w h i t e}{\text{XXX}} - 5 < 3 x + 4$

Since we can subtract the same amount to both sides of an inequality without effecting the validity or orientation of the inequality:
#color(white)("XXX")-9 < 3x

We can also divide both sides of an inequality by any amount greater than zero without effecting the validity or orientation of the inequality:
$\textcolor{w h i t e}{\text{XXX}} - 3 < x$

If you prefer you could write this as $x > - 3$ but it's not really necessary.