# How do you solve the inequality abs(x-3)<8?

May 24, 2017

#### Answer:

Solution: $- 5 < x < 11$ . In interval notation : $\left(- 5 , 11\right)$

#### Explanation:

$| x - 3 | < 8 \mathmr{and} x - 3 < 8 \mathmr{and} x < 11$ OR

$| x - 3 | < 8 \mathmr{and} x - 3 > - 8 \mathmr{and} x > - 5$

Solution: $- 5 < x < 11$ . In interval notation: $\left(- 5 , 11\right)$ [Ans]