# How do you solve and write the following in interval notation: 5x-4<9x?

Apr 1, 2017

$\left(- 1 , + \infty\right)$

#### Explanation:

Collect terms in x on one side and numeric values on the other.

subtract 5x from both sides.

$\cancel{5 x} \cancel{- 5 x} - 4 < 9 x - 5 x$

$\Rightarrow - 4 < 4 x$

divide both sides by 4

$\frac{- 4}{4} < \frac{\cancel{4} x}{\cancel{4}}$

$\Rightarrow - 1 < x \Rightarrow x > - 1$

$\Rightarrow x \in \left(- 1 , + \infty\right) \leftarrow \textcolor{red}{\text{ in interval notation}}$