Question

Which value of x is in the solution 2|x-3|<4

Answer 1

1 < x < 5

Explanation:

Inequalities of the type | x | < a , have solution of the form

- a < x < a

Given

2 | x - 3 | < 4 ( divide both sides by 2 )

| x - 3 | < 2 , then

- 2 < x - 3 < 2 ( add 3 to each interval )

1 < x < 5