# How do you solve and write the following in interval notation: | 4 − 3x | + 1/2 <-2?

Jun 6, 2017

$\emptyset$

#### Explanation:

$| 4 - 3 x | + \frac{1}{2} < - 2$
substract on both side by $- \frac{1}{2}$ :
$| 4 - 3 x | < - \frac{5}{2}$

This is absurd because $\forall x , | x | \ge 0$
and $- \frac{5}{2} < 0$

Therefore, the answer is $\emptyset$