Question

How do you solve and write the following in interval notation: `|2x + 9 |>= 15`?

Answer 1

`x>=3` or `x<=-12`; Expressed in interval notation: `(-oo, -12]uu[3,oo)`

Explanation:

`|2x+9|>=15 :. 2x+9>=15 or 2x>=6 or x>=3` OR
`|2x+9|>=15 :. 2x+9<=-15 or 2x<=-24 or x<=-12`
Expressed in interval notation: `(-oo, -12]uu[3,oo)`[Ans]