Question

Solve `|2x+8| > 10` ?

Answer 1

`x>1 or x<-9`

Explanation:

`|2x+8| > 10`

The absolute value means that two limiting values of `x` will satisfy this inequality.

Solution 1:
`2x+8 > 10`
`2x > 10-8`
`2x > 2 -> x>1`

Solution 2: (Reverse the inequality and change sign)
`-(2x+8) <10`
`-2x-8<10`
`-2x < 18 -> x<-9`