# How do you solve the inequality abs(1-2x)>=x+5 and write your answer in interval notation?

Mar 21, 2017

"Solution :"{-4/3>=x" , "x>=6}

#### Explanation:

$\text{Solution for } - \left(1 - 2 x\right) \ge x + 5$
$- 1 + 2 x \ge x + 5$

$2 x - x \ge 5 + 1$

$x \ge 6$

$\text{Solution for } + \left(1 - 2 x\right) \ge x + 5$

$1 - 2 x \ge x + 5$

$1 - 5 \ge x + 2 x$

$- 4 \ge 3 x$

$- \frac{4}{3} \ge x$