Question

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

Answer 1

Solution: `-5 < x <11` . In interval notation : `(-5 , 11)`

Explanation:

`| x- 3 | < 8 or x -3 < 8 or x < 11` OR

`| x- 3 | < 8 or x -3 > -8 or x > - 5`

Solution: `-5 < x <11` . In interval notation: `(-5 , 11)` [Ans]