# How do you solve and write the following in interval notation:  |4x - 10| ≥ 14?

Jun 17, 2016

#### Answer:

$x \le - 1 \mathmr{and} x \ge 6$

#### Explanation:

$| 4 x - 10 | \ge 14$ is equivalent to

$4 x - 10 \le - 14 \mathmr{and} 4 x - 10 \ge 14$

$4 x \le - 4 \mathmr{and} 4 x \ge 24$

$x \le - 1 \mathmr{and} x \ge 6$